Hölder type quasicontinuity

DOI10.1007/BF01048508zbMath0803.46037MaRDI QIDQ686124

Jan Malý

Publication date: 2 January 1995

Published in: Potential Analysis (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacecapacityHölder continuous function\(m,q\)-capacity\(W^{1,p}\)-norm

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (12)

Pointwise behaviour of \(M^{1,1}\) Sobolev functions ⋮ A strong Lebesgue point property for Sobolev functions ⋮ Approximation in Sobolev spaces of nonlinear expressions involving the gradient ⋮ Approximation by Hölder continuous functions in a Sobolev space ⋮ A characterization of Newtonian functions with zero boundary values ⋮ On Lipschitz approximations in second order Sobolev spaces and the change of variables formula ⋮ Hölder quasicontinuity in variable exponent Sobolev spaces ⋮ Approximation by Hölder functions in Besov and Triebel-Lizorkin spaces ⋮ Maximal Functions in Sobolev Spaces ⋮ Pointwise behaviour of Orlicz-Sobolev functions ⋮ Hoelder continuity of Sobolev functions and Riesz potentials ⋮ The co-area formula for Sobolev mappings

Cites Work

• Continuity properties of potentials
• Weakly Differentiable Functions
• A Theory of Capacities for Potentials of Functions in Lebesgue Classes.
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