Schwarz-Pick estimates for bounded holomorphic functions in the unit ball of \(\mathbb C^n\)

DOI10.1007/s10114-010-7487-yzbMath1243.32002OpenAlexW2092011705MaRDI QIDQ1958718

Yang Liu, Zhi Hua Chen

Publication date: 4 October 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-7487-y

zbMATH Keywords

Taylor expansionbounded holomorphic functionSchwarz-Pick estimate

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Spaces of bounded analytic functions of one complex variable (30H05) Power series, series of functions of several complex variables (32A05) Other generalizations of function theory of one complex variable (32A30) Holomorphic functions of several complex variables (32A10)

Related Items (10)

The generalized Schwarz-Pick estimates of arbitrary order on the unit polydisk ⋮ A note on Schwarz-Pick estimate ⋮ Schwarz-Pick estimates for holomorphic mappings with values in homogeneous ball ⋮ Schwarz-Pick estimates for holomorphic mappings from the polydisk to the unit ball ⋮ The high order Schwarz-Pick lemma on complex Hilbert balls ⋮ Inequalities of Schwarz–Pick type with branch points and the pseudo-hyperbolic distance ⋮ Higher-order Schwarz-Pick estimates for holomorphic self-mappings on classical domains ⋮ High-order Schwarz-Pick lemma for the Schur class on the polydisc ⋮ Weighted differentiation composition operators between normal weight Zygmund spaces and Bloch spaces in the unit ball of \({C}^{\text{n}}\) for \({n}>1\) ⋮ Composition operator on the normal weight Zygmund space in high dimensions

Cites Work

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• Schwarz-Pick inequalities for the Schur-Agler class on the polydisk and unit ball
• Schwarz-Pick inequalities for derivatives of arbitrary order
• Remarks on the Bohr phenomenon
• On Generalized Schwarz‐Pick Estimates
• Schwarz–Pick Type Estimates
• Generalized Schwarz-Pick estimates
• Note on Schwarz-Pick estimates for bounded and positive real part analytic functions

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