Higher-order Schwarz-Pick estimates for holomorphic self-mappings on classical domains

Abstract

In this paper, Schwarz-Pick estimates for high order Fréchet derivatives of holomorphic self-mappings on classical domains are presented. Moreover, the obtained result can deduce the early work on Schwarz-Pick estimates of higher-order partial derivatives for bounded holomorphic functions on classical domains.

Keywords

Schwarz-Pick estimate / Holomorphic self-mapping / Classical domain / Holomorphic expansion

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