A strong Lebesgue point property for Sobolev functions

DOI10.1090/S0002-9939-04-07358-7zbMath1073.46025MaRDI QIDQ4813644

Visa Latvala

Publication date: 13 August 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Sobolev functionsSobolev capacitystrong Lebesgue point propertyWiener integral condition

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacities on other spaces (31C15)

Cites Work

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• Hölder type quasicontinuity
• Fine and quasi connectedness in nonlinear potential theory
• Continuity properties of potentials
• Hölder quasicontinuity of Sobolev functions on metric spaces
• The Wiener test and potential estimates for quasilinear elliptic equations
• Non-linear potentials and approximation in the mean by analytic functions
• Weakly Differentiable Functions
• Supersolutions to Degenerate Elliptic Equations on Quasi open Sets
• Regularity of quasi-minimizers on metric spaces

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