On uniform approximation by harmonic functions

DOI10.1307/mmj/1029003626zbMath0638.41032OpenAlexW2015386933MaRDI QIDQ1099350

Dmitry Khavinson

Publication date: 1987

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029003626

zbMATH Keywords

Green's functionisoperimetric inequalityanalytic functionsharmonic functionsfine potential theoryHahn-Banach dualityharmonic content

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (7)

Approximation by harmonic functions in the \(C^ 1\)-norm and harmonic \(C^ 1\)-content of compact subsets in \(\mathbb{R}^ n\) ⋮ The isoperimetric inequality via approximation theory and free boundary problems ⋮ Uniform approximation by \(\square _b\)-harmonic functions ⋮ A Thought on Approximation by Bi-Analytic Functions ⋮ The solution operator of the inhomogeneous Dirichlet problem in the unit ball ⋮ A free boundary problem associated with the isoperimetric inequality ⋮ Approximation by harmonic functions in the \(C^m\)-norm and harmonic \(C^m\)-capacity of compact sets in \(\mathbb{R}^n\)

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