Some sharp Schwarz-Pick type estimates and their applications of harmonic and pluriharmonic functions

DOI10.1016/j.jfa.2021.109254zbMath1479.31003arXiv2005.10032OpenAlexW3206774276MaRDI QIDQ2243150

Hidetaka Hamada, Shao Lin Chen

Publication date: 11 November 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.10032

zbMATH Keywords

harmonic functionpluriharmonic functionBohr phenomenonSchwarz-Pick type lemma of arbitrary ordersharp Schwarz-Pick type estimate

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Plurisubharmonic functions and generalizations (32U05)

Related Items (7)

Schwarz-Pick lemma for harmonic and hyperbolic harmonic functions ⋮ On (Fejér-)Riesz type inequalities, Hardy-Littlewood type theorems and smooth moduli ⋮ Characterizations of composition operators on Bloch and Hardy type spaces ⋮ Schwarz lemma at the boundary for holomorphic and pluriharmonic mappings between \(p\)-unit balls ⋮ Bohr radius for pluriharmonic mappings in separable complex Hilbert spaces ⋮ Harmonic Lipschitz type spaces and composition operators meet majorants ⋮ The boundary Schwarz lemma for harmonic and pluriharmonic mappings and some generalizations

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