Lipschitz continuity for weighted harmonic functions in the unit disc

DOI10.1080/17476933.2019.1669572zbMath1453.31005OpenAlexW2976082055WikidataQ127189813 ScholiaQ127189813MaRDI QIDQ5132201

Anders Olofsson

Publication date: 10 November 2020

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2019.1669572

zbMATH Keywords

Poisson integralLipschitz continuityharmonic functionsFourier multiplier

Mathematics Subject Classification ID

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

Related Items (5)

Generalized harmonic functions and Schwarz lemma for biharmonic mappings ⋮ Series representations for generalized harmonic functions in the case of three parameters ⋮ A series expansion for generalized harmonic functions ⋮ Hölder continuity of generalized harmonic functions in the unit disc ⋮ Schwarz lemma for solutions of the \(\alpha\)-harmonic equation

Cites Work

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• Several properties of \(\alpha \)-harmonic functions in the unit disk
• Lipschitz continuity for solutions of the \(\bar{\alpha}\)-Poisson equation
• On a weighted harmonic Green function and a theorem of Littlewood
• Poisson integrals for standard weighted Laplacians in the unit disc
• Lipschitz continuity of \(\alpha\)-harmonic functions
• The Dirichlet problem for standard weighted Laplacians in the upper half plane
• A partial differential equation arising in conformal mapping
• Lipschitz classes and quasiconformla mappings
• The Structure of Ideals and Point Derivations in Banach Algebras of Lipschitz Functions

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