Some generalizations for the Schwarz-Pick lemma and boundary Schwarz lemma

In this paper, we first obtain a Schwarz-Pick type lemma for the holomorphic self-mapping of the unit disk with respect to the $ q $-distance. Second, we establish the general Schwarz-Pick lemma for the self-mapping of the unit disk satisfying the Poisson differential inequality. As an application,...

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Bibliographic Details
Main Authors: Fangming Cai, Jie Rui, Deguang Zhong
Format: Article
Language:English
Published: AIMS Press 2023-11-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231586?viewType=HTML