On the invariance of classes Φ𝐵𝑉,Λ𝐵𝑉 under composition

DOI10.1090/S0002-9939-03-07129-6zbMath1047.26007MaRDI QIDQ4441786

Pamela B. Pierce, Daniel Waterman

Publication date: 7 January 2004

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

zbMATH Keywords

generalized bounded variation

Mathematics Subject Classification ID

Functions of bounded variation, generalizations (26A45)

Related Items (8)

On some nonlinear operators in \(\Lambda BV\)-spaces ⋮ Locally Lipschitz composition operators in the space \(\Phi BV[a,b\)] ⋮ Compactness in the spaces of functions of bounded variation ⋮ The composition operator and the space of the functions of bounded variation in Schramm-Korenblum's sense ⋮ On bounded lower \(\Lambda\)-variation ⋮ Inclusions of Waterman-Shiba spaces into generalized Wiener classes ⋮ Relations between \(\mathrm{BV}_{*}(q;\alpha)\) and \(\Lambda_{*}\mathrm{BV}^{p}\) classes of functions ⋮ On integral bounded variation

Cites Work

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• Fourier Series of Functions of Λ-Bounded Variation
• On generalized variations (I)
• Composing Functions of Bounded Variation
• On the summability of Fourier series of functions of Λ-bounded variation
• On Λ-bounded variation
• On the Invariance of Certain Classes of Functions Under Composition
• Functions Whose Fourier Series Converge for Every Change of Variable
• On convergence of Fourier series of functions of generalized bounded variation

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