Functions of bounded \(k\)th \(p\)-variation and continuity modulus

DOI10.1155/2015/253636zbMath1336.26008OpenAlexW1581625113WikidataQ59112780 ScholiaQ59112780MaRDI QIDQ886929

Odalis Mejía, Pilar Silvestre

Publication date: 27 October 2015

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/253636

zbMATH Keywords

Sobolev spacesmodulus of continuitymodulus of smoothnessfunctions of bounded variation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Functions of bounded variation, generalizations (26A45)

Cites Work

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• Functions of bounded second \(p\)-variation
• On functions of bounded \((p, k)\)-variation
• On functions of bounded (p,2)-variation
• Best approximation polynomials and a relation between continuity modules in spaces of functions of bounded \(p\)-variation
• Asymptotics properties of a compact set of smooth functions in the space of functions of bounded \(p\)-variation
• On fractional smoothness of functions related to p-variation
• Bounded Variation and Around

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