Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T18:18:51.510877Z
Paper Citation Record · LEDGER
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking
As of 12 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2508.15221.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
29 of 29 outbound references displayed
- verified exact1
- verified fuzzy24
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 437860a8-e51d-4d5a-a7f1-2245acddc0fa · outbound
This paper cites Beckner, Weighted inequalities and Stein-Weiss potentials.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Beckner, Weighted inequalities and Stein-Weiss potentials
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:58.422171Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation da670d27-3084-4fa9-a315-a7fce91a1023 · outbound
This paper cites Brezis, P.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Brezis, P
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:58.216697Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e8c08926-930d-45e4-8c48-d846bd55a40d · outbound
This paper cites Caffarelli, R.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Caffarelli, R
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:58.027265Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6a59d1b3-c90a-453b-bd59-5dce44e4f652 · outbound
This paper cites Catrina, D.G.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Catrina, D.G
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:57.859166Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 58799ed0-765a-4724-8e7f-8e3367f10029 · outbound
This paper cites Catrina, Z.-Q.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Catrina, Z.-Q
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:57.701517Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a6f6529d-c29f-471e-9756-22354c552452 · outbound
This paper cites Cazacu, A new proof of the Hardy-Rellich inequality in any dimension.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Cazacu, A new proof of the Hardy-Rellich inequality in any dimension
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:57.501346Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7de190f2-8811-4bb5-96f2-8297c2717080 · outbound
This paper cites Cazacu, J.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Cazacu, J
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:57.308659Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 73ececc6-2a59-4514-a62b-42838c104cdd · outbound
This paper cites Cazacu, J.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Cazacu, J
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:57.094854Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 906f6c1a-ed7d-4462-8413-fa7a808a670e · outbound
This paper cites Cazacu, J.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Cazacu, J
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:56.900351Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a97587d8-7202-4c2f-82f6-515cfa014aa2 · outbound
This paper cites Cazacu, J.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Cazacu, J
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:56.743194Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 17ccc32e-6751-48ff-a163-5647c81249bc · outbound
This paper cites Cordero-Erausquin, B.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Cordero-Erausquin, B
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:56.572472Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 53253dbe-7c2c-4299-9483-e3b2812adda6 · outbound
This paper cites Costa, Some new and short proofs for a class of Caffarelli-Kohn-Nirenberg type in- equalities.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Costa, Some new and short proofs for a class of Caffarelli-Kohn-Nirenberg type in- equalities
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:56.370700Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f7c70f2d-f957-4baa-85d1-a683f9abc84b · outbound
This paper cites Del Pino, J.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Del Pino, J
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:56.196766Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation da303166-06cb-48c2-8871-26e2956dcc44 · outbound
This paper cites Del Pino, J.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Del Pino, J
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:55.942554Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 367f8d08-b02b-443e-86a1-4dac7933bd36 · outbound
This paper cites $L^{p}$-Caffarelli-Kohn-Nirenberg inequalities and their stabilities.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking $L^{p}$-Caffarelli-Kohn-Nirenberg inequalities and their stabilities
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T18:18:49.408731Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4e73061-6c76-4e8b-b87e-e3fea4669316 · outbound
This paper cites an unresolved cited work.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T18:18:55.615419Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1b791c99-9804-4926-83a6-6b7215cae81a · outbound
This paper cites The sharp second order Caffareli-Kohn-Nirenberg inequality and stability estimates for the sharp second order uncertainty principle.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking The sharp second order Caffareli-Kohn-Nirenberg inequality and stability estimates for the sharp second order uncertainty principle
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T18:18:51.789567Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8d35f8db-c0b2-4970-9a4e-ee90bb2fc619 · outbound
This paper cites Duong, V.H.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Duong, V.H
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:55.290757Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7cd09c3c-2372-4d17-96c4-bc40ac0a1ac2 · outbound
This paper cites an unresolved cited work.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T18:18:54.915063Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 28a22658-085b-4183-a919-0617290559c5 · outbound
This paper cites Frank, Sobolev inequalities and uncertainty principles in mathematical physics: Part I.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Frank, Sobolev inequalities and uncertainty principles in mathematical physics: Part I
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:54.620754Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 62a7b5e3-9f6f-48bf-af93-b28326ed16b9 · outbound
This paper cites Frank, R.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Frank, R
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:54.270138Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6dd6f5a6-4d01-4095-a140-a86dd89d8176 · outbound
This paper cites Fr¨ ohlich, E.H.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Fr¨ ohlich, E.H
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:53.914629Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 52f6c4e3-2072-4b0f-b004-d02412b232a2 · outbound
This paper cites an unresolved cited work.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T18:18:53.558607Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0e07b930-cb53-4a11-88e0-ea02c1396928 · outbound
This paper cites Lin, Interpolation inequalities with weights.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Lin, Interpolation inequalities with weights
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:53.194474Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4c08e100-85ff-4ee4-9a2f-74eb2e222f5a · outbound
This paper cites Nguyen, Sharp weighted Sobolev and Gagliardo-Nirenberg inequalities on half-spaces via mass transport and consequences.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Nguyen, Sharp weighted Sobolev and Gagliardo-Nirenberg inequalities on half-spaces via mass transport and consequences
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:52.948223Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation de58ffe9-3555-41b6-afc1-f05761399e98 · outbound
This paper cites Talenti, Best constant in Sobolev inequality.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Talenti, Best constant in Sobolev inequality
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:52.657709Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4d0b589e-e050-47c5-bd0e-064115250d00 · outbound
This paper cites Tertikas, N.B.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Tertikas, N.B
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:52.502133Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 35ec9820-9fa9-4c84-89a0-87ceaff492c9 · outbound
This paper cites Vazquez, E.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Vazquez, E
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:52.294457Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d0693987-4fd2-481c-81f2-8fca51694a7d · outbound
This paper cites Xia, The Caffarelli-Kohn-Nirenberg inequalities on complete manifolds.
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking Xia, The Caffarelli-Kohn-Nirenberg inequalities on complete manifolds
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T18:18:52.044897Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
No inbound Pith citation observations are available.