Some properties of mappings admitting general Poisson representations

DOI10.1007/s00009-021-01827-0zbMath1477.31035OpenAlexW3196254422MaRDI QIDQ2050158

Adel Khalfallah, Mohamed Mhamdi, Miodrag S. Mateljević

Publication date: 30 August 2021

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

Full work available at URL: https://doi.org/10.1007/s00009-021-01827-0

zbMATH Keywords

Schwarz's lemmaLandau theorem\(T_\alpha\)-harmonic mappings

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (8)

A Khavinson type conjecture for hyperbolic harmonic functions on the unit ball ⋮ Schwarz-Pick lemma for harmonic and hyperbolic harmonic functions ⋮ Boundary Schwarz lemma for harmonic and pluriharmonic mappings in the unit ball ⋮ Isoperimetric type inequalities for mappings induced by weighted Laplace differential operators ⋮ Schwarz type lemmas for generalized harmonic functions ⋮ Hölder continuity of generalized harmonic functions in the unit disc ⋮ The boundary Schwarz lemma for harmonic and pluriharmonic mappings and some generalizations ⋮ Unnamed Item

Cites Work

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• Lipschitz type spaces and Landau-Bloch type theorems for harmonic functions and Poisson equations
• Hyperbolic metric on the strip and the Schwarz lemma for HQR mappings
• On harmonic functions and the Schwarz lemma

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