A Schwarz-Pick lemma for the modulus of holomorphic mappings from the polydisk into the unit ball
Shaoyu Dai, Yifei Pan
TL;DR
This paper establishes a Schwarz-Pick lemma for the modulus of holomorphic functions from the polydisk to the unit ball, extending existing results in complex analysis.
Contribution
It introduces a new Schwarz-Pick lemma applicable to the modulus of holomorphic mappings between these domains, broadening the scope of classical results.
Findings
The lemma provides bounds for the modulus of holomorphic mappings.
It generalizes previous Schwarz-Pick lemmas to higher-dimensional domains.
The result has potential applications in complex analysis and geometric function theory.
Abstract
In this paper we prove a Schwarz-Pick lemma for the modulus of holomorphic mappings from the polydisk into the unit ball. This result extends some related results.
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Taxonomy
TopicsHolomorphic and Operator Theory · Analytic and geometric function theory · Algebraic and Geometric Analysis