Norms of spherical averaging operators for some geometric group actions

Bogdan Nica

Norms of spherical averaging operators for some geometric group actions

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2405.08682 v1 pith:QQEJDX4H submitted 2024-05-14 math.GR math.FA

Bogdan Nica This is my paper · ORCID

classification math.GRmath.FA

keywords actionsasymptoticaveragingestimatesgeometricgroupobtainoperators

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

abstract

We obtain asymptotic estimates for the $\ell^p$-operator norm of spherical averaging operators associated to certain geometric group actions. The motivating example is the case of Gromov hyperbolic groups, for which we obtain asymptotically sharp estimates. We deduce asymptotic lower bounds for the combinatorial expansion of spheres.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Hardy-Littlewood maximal operator on spaces of exponential volume growth
math.DS 2025-05 conditional novelty 8.0 of 10

Under new 'rough radial structure' assumptions, ball averages on exponentially growing groups satisfy weak-type L(logL)^c maximal inequalities, and non-elementary hyperbolic groups satisfy the optimal weak-type (1,1) ...

Pith tools