Superharmonic extension and harmonic approximation

DOI10.5802/aif.1389zbMath0795.31004OpenAlexW2038816802MaRDI QIDQ1323150

Stephen J. Gardiner

Publication date: 10 May 1994

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1994__44_1_65_0

zbMATH Keywords

harmonic measureextension theoremthin setsuperharmonic function

Mathematics Subject Classification ID

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

Related Items (10)

Uniform harmonic approximation with continuous extension to the boundary ⋮ Universal overconvergence of polynomial expansions of harmonic functions ⋮ Harmonic monsters. ⋮ Existence of universal Taylor series for nonsimply connected domains ⋮ Uniform harmonic approximation of bounded functions ⋮ \(C^{m}\)-subharmonic extension of Runge type from closed to open subsets of \(\mathbb R^{N}\) ⋮ 𝐿𝑖𝑝𝛼 harmonic approximation on closed sets ⋮ Global Approximation in Harmonic Spaces ⋮ Universal locally univalent functions and universal conformal metrics with constant curvature ⋮ The Dirichlet problem with non-compact boundary

Cites Work

• Uniform harmonic approximation on Riemannian manifolds
• Uniform Approximation on Closed Sets by Harmonic Functions with Newtonian Singularities
• Uniform and tangential approximations by analytic functions
• Uniform Approximation on Unbounded Sets by Harmonic Functions with Logarithmic Singularities
• A Characterization of Harmonic Arakelyan Sets
• Tangential Harmonic Approximation on Relatively Closed Sets
• On the solvability and stability of the Dirichlet problem
• On the Extension of Superharmonic Functions
• Semimartingales and Subharmonic Functions
• Classical potential theory and its probabilistic counterpart.
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