Uniform Approximation on Closed Sets by Harmonic Functions with Newtonian Singularities

DOI10.1112/jlms/s2-28.1.71zbMath0525.31002OpenAlexW1973712694MaRDI QIDQ3039673

Wellington H. Ow, Myron Goldstein, Paul M. Gauthier

Publication date: 1983

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-28.1.71

zbMATH Keywords

Newtonian singularitiessimultaneous approximation of finitely many partial derivativesuniform approximation on closed sets

Mathematics Subject Classification ID

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

Related Items (9)

Uniform harmonic approximation on Riemannian manifolds ⋮ Recent developments in harmonic approximation, with applications ⋮ On a characterization of Arakelian sets ⋮ Uniform harmonic approximation of bounded functions ⋮ Submanifolds that are level sets of solutions to a second-order elliptic PDE ⋮ Asymptotic maximum principles for subharmonic functions ⋮ A Characterization of Harmonic Arakelyan Sets ⋮ Best Uniform Approximation by Solutions of Elliptic Differential Equations ⋮ Superharmonic extension and harmonic approximation

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