Schwarz-Pick estimates for holomorphic mappings with values in homogeneous ball

DOI10.1155/2012/647972zbMath1256.32001OpenAlexW2081013761WikidataQ58695793 ScholiaQ58695793MaRDI QIDQ1938267

Jian Fei Wang

Publication date: 4 February 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/647972

zbMATH Keywords

Schwarz-Pick estimatesholomorphic mappings with values in a Banach space

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Holomorphic functions of several complex variables (32A10)

Cites Work

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• The Schwarz-Pick lemma of high order in several variables
• The high order Schwarz-Pick lemma on complex Hilbert balls
• Schwarz-Pick inequalities for the Schur-Agler class on the polydisk and unit ball
• Schwarz-Pick inequalities for derivatives of arbitrary order
• Schwarz-Pick estimates for bounded holomorphic functions in the unit ball of \(\mathbb C^n\)
• Composition operators with closed range on the Bloch space
• Generalized Schwarz-Pick estimates
• Hyperbolic derivatives and generalized Schwarz-Pick estimates
• Note on Schwarz-Pick estimates for bounded and positive real part analytic functions

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