Uniform approximation by harmonic functions on compact subsets of \(\mathbb{R}^3\)

DOI10.1007/s10958-012-0772-9zbMath1268.41015OpenAlexW2073721297MaRDI QIDQ690590

Maxim Ya Mazalov

Publication date: 28 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0772-9

zbMATH Keywords

analytic functionuniform approximationharmonic functions

Mathematics Subject Classification ID

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

Cites Work

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• \(C^ m\) approximation by solutions of elliptic equations, and Calderón-Zygmund operators
• BMO and Lipschitz approximation by solutions of elliptic equations
• Removable singularities of solutions of linear partial differential equations
• A criterion for uniform approximability on arbitrary compact sets for solutions of elliptic equations
• On the solvability and stability of the Dirichlet problem
• A Notion of Capacity Which Characterizes Removable Singularities

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