Contraction property on complex hyperbolic ball
Complex Variables
2025-01-24 v2
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.
Cite
@article{arxiv.2411.01911,
title = {Contraction property on complex hyperbolic ball},
author = {Xiaoshan Li and Guicong Su},
journal= {arXiv preprint arXiv:2411.01911},
year = {2025}
}