On \(C^{m}\)-extension of subharmonic functions from Lyapunov-Dini domains to \(\mathbb{R}^{N}\)

DOI10.1134/S0001434611010214zbMath1232.31002MaRDI QIDQ650399

Peter V. Paramonov

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

subharmonic function\(C^{m}\)-extensionLyapunov-Dini domain

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items (2)

\(C^{m}\)-subharmonic extension of Runge type from closed to open subsets of \(\mathbb R^{N}\) ⋮ Approximation by Solutions of Elliptic Equations and Extension of Subharmonic Functions

Cites Work

• \(C^ m\) approximation by solutions of elliptic equations, and Calderón-Zygmund operators
• Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.
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