Approximation on Closed Sets by Analytic or Meromorphic Solutions of Elliptic Equations and Applications

DOI10.4153/CJM-2002-035-4zbMath1022.30043OpenAlexW2065210071MaRDI QIDQ4784367

Paul M. Gauthier, André Boivin, Peter V. Paramonov

Publication date: 24 October 2003

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2002-035-4

zbMATH Keywords

maximum principleDirichlet problemelliptic operatorlocalization operatorstrongly elliptic operatorBanach space of distributionsL-analytic functionsapproximation on closed setsapproximation theorem of Arakelyan-typeapproximation theorem of Runge-typeL-meromorphic functions

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by other special function classes (41A30) Cluster sets, prime ends, boundary behavior (30D40)

Related Items (9)

Meromorphic tangential approximation on the boundary of closed sets in Riemann surfaces ⋮ Maximal cluster sets on spaces of holomorphic functions ⋮ \(C^{m}\)-subharmonic extension of Runge type from closed to open subsets of \(\mathbb R^{N}\) ⋮ The Life and Work of André Boivin ⋮ Approximation by Solutions of Elliptic Equations and Extension of Subharmonic Functions ⋮ Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan ⋮ Holomorphic functions with universal boundary behaviour ⋮ Simultaneously maximal radial cluster sets ⋮ Wild boundary behaviour of homomorphic functions in domains of C^N

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