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

zbMath1327.32007arXiv1409.7897MaRDI QIDQ892092

Antti H. Rasila, Shao Lin Chen

Publication date: 18 November 2015

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.7897

zbMATH Keywords

Schwarz-Pick lemmapluriharmonic functions in the polydisk

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Pluriharmonic and plurisubharmonic functions (31C10) Other generalizations of function theory of one complex variable (32A30)

Related Items (11)

Linear connectivity, Schwarz-Pick lemma and univalency criteria for planar harmonic mapping ⋮ Several properties of \(\alpha \)-harmonic functions in the unit disk ⋮ A note on pluriharmonic functions in the unit polydisc in \(\mathbb{C}^n\) ⋮ SCHWARZ LEMMA FOR HOLOMORPHIC MAPPINGS IN THE UNIT BALL ⋮ Characterizations of Hardy-type, Bergman-type and Dirichlet-type spaces on certain classes of complex-valued functions ⋮ Distortion and covering theorems of pluriharmonic mappings ⋮ Some sharp Schwarz-Pick type estimates and their applications of harmonic and pluriharmonic functions ⋮ Pluriharmonic mappings in \(\mathbb{C}^n\) and complex Banach spaces ⋮ Schwarz-Pick type estimates for gradients of pluriharmonic mappings of the unit ball ⋮ A boundary Schwarz lemma for pluriharmonic mappings from the unit polydisk to the unit ball ⋮ On some Schwarz type inequalities

Cites Work

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• The Landau theorem and Bloch theorem for planar harmonic and pluriharmonic mappings
• Two-point distortion theorems for harmonic and pluriharmonic mappings
• Landau's theorems for certain biharmonic mappings
• Uniform Algebras Generated by Holomorphic and Pluriharmonic Functions
• On Generalized Schwarz‐Pick Estimates
• Harmonic univalent functions
• On harmonic functions and the Schwarz lemma
• Note on Schwarz-Pick estimates for bounded and positive real part analytic functions
• Schwarz-Pick Type Inequalities

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