$ C^m$-extension of subharmonic functions

DOI10.1070/IM2005V069N06ABEH002297zbMath1104.31001OpenAlexW1989772347MaRDI QIDQ5395505

Peter V. Paramonov

Publication date: 31 October 2006

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

Full work available at URL: https://doi.org/10.1070/im2005v069n06abeh002297

zbMATH Keywords

smooth extensionsubharmonic function

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Approximation by other special function classes (41A30)

Related Items (2)

\(C^{m}\)-subharmonic extension of Runge type from closed to open subsets of \(\mathbb R^{N}\) ⋮ On \(\mathrm{Lip}^m\)-reflection of harmonic functions over boundaries of simple Carathéodory domains

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