The generalized Schwarz-Pick estimates of arbitrary order on the unit polydisk

DOI10.1007/s11785-011-0189-3zbMath1275.32001OpenAlexW1970842009MaRDI QIDQ371803

Yang Liu, Jian Fei Wang

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-011-0189-3

zbMATH Keywords

holomorphic mappingsCarathéodory metricbounded symmetric domainsSchwarz-Pick estimates

Mathematics Subject Classification ID

Related Items (1)

Schwarz-Pick type estimates of pluriharmonic mappings in the unit polydisk

Cites Work

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• 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
• 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
• A Schwarz lemma on the polydisk
• Note on Schwarz-Pick estimates for bounded and positive real part analytic functions
• Schwarz-Pick Type Inequalities

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