Pith. sign in

REVIEW 2 cited by

Contraction property on complex hyperbolic ball

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 2411.01911 v2 pith:XPTAHJB2 submitted 2024-11-04 math.CV

Xiaoshan Li , Guicong Su This is my paper · ORCID
classification math.CV
keywords complexhyperbolicassumptionballcontractionpropertyproveapplication
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We prove an isoperimetric inequalitie on the complex hyperbolic ball with Assumption \ref{assumption}}. As an application, we prove a contraction property for the holomorphic functions in Hardy and weighted Bergman spaces on the complex hyperbolic ball with this assumption. The results can be seen as partial generalization of Kulikov's result on the complex hyperbolic plane.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

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

  1. The Gromov--Ros conjecture in complex hyperbolic space

    math.CV 2026-07 conditional novelty 8.0 of 10

    Every finite-perimeter isoperimetric region in complex hyperbolic space CH^m (m≥2) is, up to isometry and null sets, a geodesic ball.

  2. Embedding and compact embedding between Bergman and Hardy spaces

    math.CV 2025-02 conditional novelty 6.0 of 10

    The paper gives the full if-and-only-if characterization of embeddings and compact embeddings between Hardy and weighted Bergman spaces on the unit ball for all exponents and weights.

Pith tools