A Schwarz lemma at the boundary of Hilbert balls

DOI10.1007/S11401-018-0090-8zbMath1402.32016OpenAlexW2896228206WikidataQ124806549 ScholiaQ124806549MaRDI QIDQ1624093

Yifei Pan, Yang Liu, Zhi Hua Chen

Publication date: 15 November 2018

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-018-0090-8

zbMATH Keywords

holomorphic mappingboundary Schwarz lemmaHilbert ball

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Infinite-dimensional holomorphy (46G20) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02)

Related Items (2)

A boundary Schwarz lemma for holomorphic mappings on the polydisc ⋮ The boundary Schwarz lemma for harmonic and pluriharmonic mappings and some generalizations

Cites Work

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• Schwarz lemma at the boundary of the unit ball in \(\mathbb C^n\) and its applications
• Boundary Schwarz lemma for pluriharmonic mappings between unit balls
• Schwarz lemma at the boundary of the unit polydisk in \(\mathbb C^n\)
• The Schwarz-Pick lemma of high order in several variables
• Schwarz-Pick estimates for holomorphic mappings from the polydisk to the unit ball
• The high order Schwarz-Pick lemma on complex Hilbert balls
• Manifolds, tensor analysis, and applications.
• The Schwarz Lemma at the Boundary of the Egg Domain B_p1,p2 in ℂⁿ
• Note on Schwarz-Pick estimates for bounded and positive real part analytic functions
• Intrinsic metrics on complex manifolds

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