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arXiv · 2411.01911

Contraction property on complex hyperbolic ball

Xiaoshan Li·Guicong Su
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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.

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Xiaoshan Li, Guicong Su. 2024-11-04. Contraction property on complex hyperbolic ball. https://arxiv.org/abs/2411.01911

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