A criterion for approximability by harmonic functions in Lipschitz spaces

DOI10.1007/s10958-013-1557-5zbMath1302.41024OpenAlexW2056665950MaRDI QIDQ744517

Maxim Ya Mazalov

Publication date: 25 September 2014

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

Full work available at URL: https://doi.org/10.1007/s10958-013-1557-5

zbMATH Keywords

Hausdorff contentcriterion for approximabilityVitushkin's method

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by other special function classes (41A30) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

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Criteria for the individual $C^m$-approximability of functions on compact subsets of $ {\mathbb R}^N$ by solutions of second-order homogeneous elliptic equations

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
• $ C^1$-approximation and extension of subharmonic functions
• Some new criteria for uniform approximability of functions by rational fractions

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