A Characterization of Harmonic Arakelyan Sets

DOI10.2307/2160516zbMath0787.31003OpenAlexW4232946256MaRDI QIDQ4275640

Myron Goldstein, Wellington H. Ow

Publication date: 19 May 1994

Full work available at URL: https://doi.org/10.2307/2160516

zbMATH Keywords

approximation by harmonic functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Harmonic functions on Riemann surfaces (30F15)

Related Items (2)

𝐿𝑖𝑝𝛼 harmonic approximation on closed sets ⋮ Superharmonic extension and harmonic approximation

Cites Work

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• Approximation by harmonic functions of closed subsets of Riemann surfaces
• Uniform Approximation on Closed Sets by Harmonic Functions with Newtonian Singularities
• Better than Uniform Approximation on Closed Sets by Harmonic Functions with Singularities
• Uniform Approximation on Unbounded Sets by Harmonic Functions with Logarithmic Singularities

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