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

DOI10.1070/SM8967zbMath1400.41013OpenAlexW2789327172MaRDI QIDQ4581455

Peter V. Paramonov

Publication date: 20 August 2018

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8967

zbMATH Keywords

\(L\)-oscillationVitushkin-type localization operator\(C^m\)-approximability by solutions of homogeneous elliptic equations\(C^m\)-invariance of Calderón-Zygmund operators\(p\)-dimensional Hausdorff contentharmonic \(C^m\)-capacity

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Second-order elliptic equations (35J15) Approximation by other special function classes (41A30)

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