A Schwarz–Pick lemma for the modulus of holomorphic mappings

DOI10.1080/17476933.2014.981170zbMath1317.32028arXiv1307.7797OpenAlexW2105916404WikidataQ124883323 ScholiaQ124883323MaRDI QIDQ5256694

Shaoyu Dai, Yifei Pan

Publication date: 19 June 2015

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.7797

zbMATH Keywords

holomorphic mappingsSchwarz-Pick lemmaunit ball in \(\mathbb C^n\)

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02)

Related Items (3)

A Schwarz–Pick lemma for the norms of holomorphic mappings in Banach spaces ⋮ Generalized versions of Lipschitz conditions on the modulus of holomorphic functions ⋮ Boundary Schwarz lemma and rigidity property for holomorphic mappings of the unit polydisc in Cn

Cites Work

• The Schwarz-Pick lemma of high order in several variables
• The high order Schwarz-Pick lemma on complex Hilbert balls
• A Schwarz lemma for the modulus of a vector-valued analytic function

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