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1. The high order Schwarz-Pick lemma on complex Hilbert balls

Author

Dai, ShaoYu, Chen, HuaiHui, and Pan, YiFei

Abstract

Abstract: In this paper we prove a high order Schwarz-Pick lemma for holomorphic mappings between unit balls in complex Hilbert spaces. In addition, a Schwarz-Pick estimate for high order Fréchet derivatives of a holomorphic function f of a Hilbert ball into the right half-plane is obtained.

Published
2024
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