Paper Citation Record · LEDGER

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions

As of 11 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 2 inbound Pith citation observations for arXiv:2606.08939.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2606.08939 v1

Coverage vector

measured 61 of 61 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T16:06:07.856884Z

measured 63 of 63 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T01:24:50.495903Z

measured 0 of 1 external citation measurements

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Source: pith, observed 2026-07-04T20:20:06.907270Z

Reference resolution

61 of 61 outbound references displayed

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External citation measurements

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Outbound references

Observation efcdc89b-afbf-4974-8d5e-d56cf2017d67 · outbound

This paper cites Bakry, I.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Bakry, I

Reference 1

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Observation ece74954-f665-474b-b926-d710be8a8438 · outbound

This paper cites Bartsch, T.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Bartsch, T

Reference 2

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Observation 9e6b70da-7c61-4fa9-88d1-ec70a73f937b · outbound

This paper cites Bhakta, D.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Bhakta, D

Reference 3

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Observation 5aa8afb8-b926-4f0e-ac30-e03f9fcf8e4f · outbound

This paper cites Bhakta, D.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Bhakta, D

Reference 4

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Observation d2aa943d-91e1-4af4-9cbd-70fe194acd43 · outbound

This paper cites Bianchi, H.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Bianchi, H

Reference 5

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Observation 421c3948-6ce2-4b46-b25f-8d27399cc126 · outbound

This paper cites Bolley, D.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Bolley, D

Reference 6

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Observation 22e738f6-91f3-4122-8926-c6143148ab69 · outbound

This paper cites Bonforte, J.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Bonforte, J

Reference 7

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Observation e957d9d0-97c7-4114-b062-f62adc7990a7 · outbound

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Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 8

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Observation 7e647c1c-1bc6-419d-8370-f76a756ab775 · outbound

This paper cites Brezis, E.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Brezis, E

Reference 9

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Observation ed0eea3a-e6c4-46d8-9ef3-7f524e4b97c7 · outbound

This paper cites Caffarelli, R.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Caffarelli, R

Reference 10

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Observation 3b1bf83a-2e7e-44ea-853f-2ad24425c94a · outbound

This paper cites Carlen, A.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Carlen, A

Reference 11

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Observation fac1eed6-f883-4a85-81cf-987ae0c7bdb1 · outbound

This paper cites Catrina, D.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Catrina, D

Reference 12

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Observation a8cddd4c-9f7c-4fe1-8406-df9b5f03dc9d · outbound

This paper cites Cazacu, J.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Cazacu, J

Reference 13

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Observation a95b23d8-d560-4a20-92b8-d2366755949c · outbound

This paper cites Cazacu, J.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Cazacu, J

Reference 14

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Observation bc2675b7-5719-44fa-b0ff-93d2ca3adfab · outbound

This paper cites Cazacu, J.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Cazacu, J

Reference 15

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Observation b0ae8913-e76d-43d6-b3e8-e8c674e67c5f · outbound

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Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 16

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Observation b4291a33-446d-45ac-b353-d13cb70da862 · outbound

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Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 17

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Observation bd846d7c-7c32-4338-84b6-11e2ded72840 · outbound

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Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 18

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Observation 28f2d142-502d-4352-8218-3123f9a9aa63 · outbound

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Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 19

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Observation 70b9635a-6219-4951-929b-d53a5eee7fd1 · outbound

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Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 20

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Observation 65ddcfd6-d0cd-4fe6-805a-258fd8b0ef40 · outbound

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Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 21

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Observation e2485ce7-849b-47b5-9487-c92a63a65c81 · outbound

This paper cites Chen, C.-L.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Chen, C.-L

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-07-03T02:07:34.490406Z

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Observation 18781788-de3c-4fb4-90bb-734b8f576340 · outbound

This paper cites Cianchi, N.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Cianchi, N

Reference 23

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Observation f5c19165-68ec-4943-9a17-e50a0b5ceee0 · outbound

This paper cites Costa, Some new and short proofs for a class of Caffarelli-Kohn-Nirenberg type inequalities, J.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Costa, Some new and short proofs for a class of Caffarelli-Kohn-Nirenberg type inequalities, J

Reference 24

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Observation d5b770e2-dec1-4819-9eb1-cbb20c639331 · outbound

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Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 25

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Observation 54e0df21-8118-4d1c-889f-7c396486627d · outbound

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Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 26

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Observation 965e501b-c05a-4b78-8b5e-41066bb75d48 · outbound

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Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 27

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Observation 3aa7a45d-8d2a-490f-821e-daf422da5a89 · outbound

This paper cites $L^{p}$-Caffarelli-Kohn-Nirenberg inequalities and their stabilities.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions $L^{p}$-Caffarelli-Kohn-Nirenberg inequalities and their stabilities

Reference 28

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Observation 0543d5e6-e3f7-4700-9ba7-e60b11310625 · outbound

This paper cites an unresolved cited work.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 29

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Observation 4d6a72fa-5e50-4f09-b963-1bb00ccc8500 · outbound

This paper cites Dolbeault, M.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Dolbeault, M

Reference 30

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Observation d27742c7-008e-47cf-a06f-77c9998cf942 · outbound

This paper cites Dolbeault, M.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Dolbeault, M

Reference 31

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Observation d875a106-9330-49af-8529-36a443d3e241 · outbound

This paper cites Dong, Existence of extremal functions for higher-order Caffarelli-Kohn-Nirenberg inequalities, Adv.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Dong, Existence of extremal functions for higher-order Caffarelli-Kohn-Nirenberg inequalities, Adv

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Observation 23efa85c-311d-4ba6-aa85-9611b7a7c73c · outbound

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Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

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Observation 40a0f91d-f452-40d6-8d1c-be5a8985e8e3 · outbound

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Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

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Observation d8dcaff3-961a-49d7-99f2-abc1bf78640f · outbound

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Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

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This paper cites Fathi, A short proof of quantitative stability for the Heisenberg-Pauli-Weyl inequality, Nonlinear Anal.210(2021), Paper No.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Fathi, A short proof of quantitative stability for the Heisenberg-Pauli-Weyl inequality, Nonlinear Anal.210(2021), Paper No

Reference 36

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Observation 5717ed56-1de3-4c95-8e18-b5f15f12570d · outbound

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Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Fathi, E

Reference 37

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Observation 0a03fa47-592e-4d37-a097-6ea3d2198919 · outbound

This paper cites Figalli, D.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Figalli, D

Reference 38

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Observation ae0adb50-9383-4c0b-9561-5e72fc109e8c · outbound

This paper cites Figalli, D.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Figalli, D

Reference 39

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Observation 60db5f1e-c23f-4618-86ff-b29f55560408 · outbound

This paper cites Figalli, R.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Figalli, R

Reference 40

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Observation 27838207-dc9f-457d-8b1d-e69e734eedaa · outbound

This paper cites Figalli, Y.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Figalli, Y

Reference 41

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Observation f2118130-ca16-46ef-a2f3-82bcd613021c · outbound

This paper cites Flynn, Sharp Caffarelli-Kohn-Nirenberg-type inequalities on Carnot groups, Adv.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Flynn, Sharp Caffarelli-Kohn-Nirenberg-type inequalities on Carnot groups, Adv

Reference 42

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Observation 23fb48bf-4f41-46c6-994c-5767dbd4cf5f · outbound

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Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Flynn, N

Reference 43

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Observation 8282eb04-2fa6-43cc-b25b-887f9162a75d · outbound

This paper cites Flynn, N.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Flynn, N

Reference 44

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Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 45

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Observation 6302e8f9-3265-42f0-ad49-13860659a3b3 · outbound

This paper cites Gross, Logarithmic Sobolev inequalities, Amer.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Gross, Logarithmic Sobolev inequalities, Amer

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Observation 1ca009c9-3579-4b4c-9cc0-25dd439d77ba · outbound

This paper cites Gross, Hypercontractivity and logarithmic Sobolev inequalities for the Clifford Dirichlet form, Duke Math.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Gross, Hypercontractivity and logarithmic Sobolev inequalities for the Clifford Dirichlet form, Duke Math

Reference 47

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Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Hamamoto, F

Reference 48

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Observation 6b0838c3-0e75-44af-9500-a859c9fec87c · outbound

This paper cites Kassymov, M.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Kassymov, M

Reference 49

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Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 50

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Observation ee0f739f-bdd5-4787-aef2-662b9c8ce28b · outbound

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Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 51

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Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 52

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Observation 27634847-6635-412b-a668-5b3e1fad7ad1 · outbound

This paper cites Log-Sobolev and Beckner inequalities and stability of Poincar\'e inequality with weighted Gaussian measures.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Log-Sobolev and Beckner inequalities and stability of Poincar\'e inequality with weighted Gaussian measures

Reference 53

Resolution: verified exact; local_arxiv, observed 2026-07-03T02:07:34.481308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1c6d0148-8a06-4fdc-8c55-80b8ece1a9f6 · outbound

This paper cites Lindqvist, On the equation div(|∇u| p−2∇u) +λ|u|p−2u= 0, Proc.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Lindqvist, On the equation div(|∇u| p−2∇u) +λ|u|p−2u= 0, Proc

Reference 54

Resolution: unresolved; no resolver link, observed 2026-06-27T16:06:07.856884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be32032b-adf3-42d3-b5b9-1008134219c1 · outbound

This paper cites an unresolved cited work.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 55

Resolution: unresolved; no resolver link, observed 2026-06-27T16:06:07.856884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 016d4187-d451-45bf-97e9-fe65d60af600 · outbound

This paper cites McCurdy, R.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions McCurdy, R

Reference 56

Resolution: unresolved; no resolver link, observed 2026-06-27T16:06:07.856884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7dc2aad-b9d4-4cad-8280-d433a02cb407 · outbound

This paper cites an unresolved cited work.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 57

Resolution: unresolved; no resolver link, observed 2026-06-27T16:06:07.856884Z

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Unavailable: canonical work link unavailable.

Observation ba1a3a6a-0462-4b0c-858f-f27ea0d694c9 · outbound

This paper cites an unresolved cited work.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 58

Resolution: unresolved; no resolver link, observed 2026-06-27T16:06:07.856884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dfa439b4-073b-4457-b0df-30cb8a500d2b · outbound

This paper cites an unresolved cited work.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 59

Resolution: unresolved; no resolver link, observed 2026-06-27T16:06:07.856884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f8847fd-a5b7-42b1-9c2e-6b111f386905 · outbound

This paper cites an unresolved cited work.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 60

Resolution: unresolved; no resolver link, observed 2026-06-27T16:06:07.856884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08123213-663c-42d8-97f7-16cd49c58954 · outbound

This paper cites an unresolved cited work.

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions Unresolved cited work

Reference 61

Resolution: unresolved; no resolver link, observed 2026-06-27T16:06:07.856884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation e452410b-b089-46ea-9137-e77c5d0b73dc · inbound

The weighted $L^2$-Caffarelli-Kohn-Nirenberg inequalities for the curl-free vector fields and second order derivatives: The sharp constants and stability estimates cites this paper.

The weighted $L^2$-Caffarelli-Kohn-Nirenberg inequalities for the curl-free vector fields and second order derivatives: The sharp constants and stability estimates Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-07-04T20:20:06.908938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8a16d6aa-299e-4906-8a8e-ef269b28a2f1 · inbound

Sharp anisotropic $L^2$-Caffarelli-Kohn-Nirenberg inequalities associated with the Minkowski functional cites this paper.

Sharp anisotropic $L^2$-Caffarelli-Kohn-Nirenberg inequalities associated with the Minkowski functional Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T01:24:50.495903Z

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Unavailable: canonical work link unavailable.