Higher-order Schwarz-Pick estimates for holomorphic self-mappings on classical domains

DOI10.1007/s11401-012-0719-yzbMath1254.32003OpenAlexW2077562715MaRDI QIDQ692458

Yang Liu, Zhi Hua Chen

Publication date: 6 December 2012

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

Full work available at URL: https://doi.org/10.1007/s11401-012-0719-y

zbMATH Keywords

classical domainSchwarz-Pick estimateholomorphic expansionholomorphic self-mapping

Mathematics Subject Classification ID

Power series, series of functions of several complex variables (32A05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ambarzumyan's theorem with eigenparameter in the boundary conditions
• The Schwarz-Pick lemma of high order in several variables
• Growth theorems and coefficient bounds for univalent holomorphic mappings which have parametric representation
• An inequality of homogeneous expansion for biholomorphic quasi-convex mappings on the unit polydisk and its application
• Schwarz-Pick inequalities for the Schur-Agler class on the polydisk and unit ball
• An absolute estimate of the homogeneous expansions of holomorphic mappings
• Schwarz-Pick inequalities for derivatives of arbitrary order
• Remarks on the Bohr phenomenon
• Schwarz-Pick estimates for bounded holomorphic functions in the unit ball of \(\mathbb C^n\)
• On the quasi-convex mappings on the unit polydisk in \(\mathbb C^{n}\)
• On Generalized Schwarz‐Pick Estimates
• Generalized Schwarz-Pick estimates
• Hyperbolic derivatives and generalized Schwarz-Pick estimates
• Note on Schwarz-Pick estimates for bounded and positive real part analytic functions