Existence of functions in weighted sobolev spaces

DOI10.1017/S0027763000008047zbMath1023.46037OpenAlexW1512374907MaRDI QIDQ4545200

Toshihide Futamura, Yoshihiro Mizuta

Publication date: 14 August 2002

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000008047

zbMATH Keywords

traceSobolev functionharmonic measures

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Other generalizations (nonlinear potential theory, etc.) (31C45) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

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• Continuity properties of potentials
• Continuity of Sobolev functions and Dirichlet finite harmonic measures
• Existence of Dirichlet finite harmonic measures on Euclidean balls
• Existence of dirichlet finite harmonic measures in nonlinear potential theory
• A Theory of Capacities for Potentials of Functions in Lebesgue Classes.
• Dirichlet finite harmonic measures on riemann surfaces

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