Schwarz-Pick estimates for positive real part holomorphic functions on unit ball and polydisc

DOI10.1007/s11425-009-0205-5zbMath1206.32001OpenAlexW2032393891MaRDI QIDQ977255

Yang Liu, Zhi Hua Chen

Publication date: 21 June 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0205-5

zbMATH Keywords

polydiscTaylor expansionunit ballSchwarz-Pick estimateCarathéodory's inequalitypositive real part holomorphic functions

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Holomorphic functions of several complex variables (32A10)

Related Items (2)

The refined Schwarz-Pick estimates for positive real part holomorphic functions in several complex variables ⋮ Some sharp Schwarz-Pick type estimates and their applications of harmonic and pluriharmonic functions

Cites Work

• Schwarz-Pick inequalities for the Schur-Agler class on the polydisk and unit ball
• On the extreme points of a subclass of holomorphic functions with positive real part
• Generalized Schwarz-Pick estimates
• Hyperbolic derivatives and generalized Schwarz-Pick estimates
• Note on Schwarz-Pick estimates for bounded and positive real part analytic functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Schwarz-Pick estimates for positive real part holomorphic functions on unit ball and polydisc