Generalized Schwarz-Pick estimates

DOI10.1090/S0002-9939-02-06588-7zbMath1012.30015OpenAlexW1820400186MaRDI QIDQ4779865

Karel Stroethoff, Ruhan Zhao, Barbara D. MacCluer

Publication date: 28 October 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06588-7

zbMATH Keywords

weighted composition operatorsBloch spacesSchwarz-Pick inequality

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Linear composition operators (47B33)

Related Items (27)

Remarks on the Bohr phenomenon ⋮ On Schwarz-Pick type inequality for mappings satisfying Poisson differential inequality ⋮ Uniform local univalence and hyperbolic distortion ⋮ The generalized Schwarz-Pick estimates of arbitrary order on the unit polydisk ⋮ A note on Schwarz-Pick estimate ⋮ Essential norms of weighted composition operators from Hilbert function spaces into Zygmund-type spaces ⋮ 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 ⋮ Characterizations of composition followed by differentiation between Bloch-type spaces ⋮ Schwarz-Pick estimates for bounded holomorphic functions in the unit ball of \(\mathbb C^n\) ⋮ Compact differences of composition operators on Bloch and Lipschitz spaces ⋮ Schwarz-Pick inequalities for the Schur-Agler class on the polydisk and unit ball ⋮ A generalized Schwarz-Pick inequality for quasiconformal mappings satisfying Poisson's equation ⋮ Sharp Bohr type real part estimates ⋮ Hypercyclic composition operators on the little Bloch space and the Besov spaces ⋮ Higher-order Schwarz-Pick estimates for holomorphic self-mappings on classical domains ⋮ High-order Schwarz-Pick lemma for the Schur class on the polydisc ⋮ Pre-schwarzian and Schwarzian derivatives of harmonic mappings ⋮ Schwarz-Pick estimates for positive real part holomorphic functions on unit ball and polydisc ⋮ Note on Schwarz-Pick estimates for bounded and positive real part analytic functions ⋮ Punishing factors for finitely connected domains ⋮ A Schwarz-Pick inequality for harmonic quasiconformal mappings and its applications ⋮ Indefinite Schwarz-Pick inequalities on the bidisk ⋮ A representation theorem for standard weighted harmonic mappings with an integer exponent and its applications ⋮ On Generalized Schwarz‐Pick Estimates ⋮ The Schwarz Lemma: Rigidity and Dynamics

Cites Work

• Weighted composition operators between Bloch-type spaces.
• The Formula of FAA Di Bruno
• Compact Composition Operators on the Bloch Space
• Unnamed Item

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