A generalisation of Widman's theorem on comparison domains for harmonic measures

DOI10.1007/BF02385456zbMath0422.31004OpenAlexW1996029195MaRDI QIDQ1133644

Philip J. Rippon

Publication date: 1979

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02385456

zbMATH Keywords

comparison domains for harmonic measuresestimate of Green functionsestimation of harmonic measuregeneralisation of Widman's theorem

Mathematics Subject Classification ID

Axiomatic potential theory (31D05) Boundary behavior of harmonic functions in higher dimensions (31B25)

Related Items (2)

A boundary estimate for harmonic functions ⋮ Criterion for the Sobolev well-posedness of the Dirichlet problem for the Poisson equation in Lipschitz domains. I

Cites Work

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• Eigenvalue inequalities for the Dirichlet problem on spheres and the growth of subharmonic functions
• Zur Symmetrisierung von Funktionen auf Sphären
• Über Wachstumseigenschaften gewisser Klassen von subharmonischen Funktionen
• 17.—An Upper Bound for the Largest Zero of Hermite's Function with Applications to Subharmonic Functions
• Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.
• On the Differentiability of Conformal Maps at the Boundary

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