Approximation by Hölder continuous functions in a Sobolev space

DOI10.1216/RMJ-2014-44-3-1027zbMath1311.46035MaRDI QIDQ457959

David Swanson

Publication date: 30 September 2014

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1411945678

zbMATH Keywords

approximationSobolev functionsHölder functionquasicontinuity

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Simultaneous approximation (41A28) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (2)

Approximation by Hölder functions in Besov and Triebel-Lizorkin spaces ⋮ Hoelder continuity of Sobolev functions and Riesz potentials

Cites Work

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• Hölder type quasicontinuity
• Area, coarea, and approximation in \(W^{1,1}\)
• Hölder quasicontinuity of Sobolev functions on metric spaces
• Pointwise behaviour of \(M^{1,1}\) Sobolev functions
• Hölder quasicontinuity in variable exponent Sobolev spaces

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