Uniform Approximation on Unbounded Sets by Harmonic Functions with Logarithmic Singularities

DOI10.2307/1998324zbMath0447.30035OpenAlexW4251440669MaRDI QIDQ3892504

Wellington H. Ow, Myron Goldstein, Paul M. Gauthier

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/1998324

zbMATH Keywords

Riemann surfacesuniform approximationharmonic approximationRunge theorem

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Harmonic functions on Riemann surfaces (30F15)

Related Items (9)

Luzin-type harmonic approximation on subsets of non-compact Riemannian manifolds ⋮ Recent developments in harmonic approximation, with applications ⋮ Approximation by harmonic functions of closed subsets of Riemann surfaces ⋮ Uniform harmonic approximation of bounded functions ⋮ Asymptotic maximum principles for subharmonic functions ⋮ A Characterization of Harmonic Arakelyan Sets ⋮ Universal locally univalent functions and universal conformal metrics with constant curvature ⋮ A Runge Theorem for Harmonic Functions on Closed Subsets of Riemann Surfaces ⋮ Superharmonic extension and harmonic approximation

Cites Work

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• Uniform approximation by functions analytic on a Riemann surface
• Approximation et caractère de quasi-analyticité dans la théorie axiomatique des fonctions harmoniques
• Uniform And Tangential Approximations By Meromorphic Functions on Closed Sets
• Sur l'approximation et la convergence dans la théorie des fonctions harmoniques ou holomorphes

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