Uniform harmonic approximation with continuous extension to the boundary

DOI10.1007/BF02790205zbMath0857.31003MaRDI QIDQ1922214

Stephen J. Gardiner

Publication date: 16 March 1997

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

uniform harmonic approximationthinness condition

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Approximation by other special function classes (41A30)

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Cites Work

• Approximation by analytic functions uniformly continuous on a set
• Superharmonic extension and harmonic approximation
• Asymptotic paths for subharmonic functions
• A Maximum Principle for Subharmonic and Plurisubharmonic Functions
• Uniform Harmonic Approximation with Continuous Extension to the Boundary
• Approximation by Analytic Functions which are Uniformly Continuous on a Subset of Their Domain of Definition
• Tangential Harmonic Approximation on Relatively Closed Sets
• Classical potential theory and its probabilistic counterpart.
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