Boundary Schwarz lemma for nonequidimensional holomorphic mappings and its application

DOI10.2140/PJM.2018.295.463zbMath1388.32009OpenAlexW2802479015WikidataQ124805211 ScholiaQ124805211MaRDI QIDQ1744263

Yang Liu, Yifei Pan, Zhi Hua Chen

Publication date: 23 April 2018

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2018.295.463

zbMATH Keywords

boundary Schwarz lemmaholomorphic mappings between unit balls

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Other generalizations of function theory of one complex variable (32A30)

Related Items (5)

A Schwarz lemma for harmonic functions in the real unit ball ⋮ Schwarz lemma and rigidity theorem at the boundary for holomorphic mappings on the unit polydisk in \(\mathbb{C}^n\) ⋮ A rigidity theorem at the boundary for holomorphic mappings with values in finite dimensional bounded symmetric domains ⋮ Schwarz lemma at the boundary for holomorphic and pluriharmonic mappings between \(p\)-unit balls ⋮ Unnamed Item

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
• The high order Schwarz-Pick lemma on complex Hilbert balls
• The Schwarz lemma at the boundary
• Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
• A Boundary Rigidity Problem For Holomorphic Mappings on Some Weakly Pseudoconvex Domains

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