Embedding of Lipschitz classes into classes of functions of \(\Lambda \)-bounded variation

DOI10.1016/J.JMAA.2009.01.033zbMath1179.26033OpenAlexW2023595528MaRDI QIDQ1018327

He Ping Wang

Publication date: 19 May 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.01.033

zbMATH Keywords

embeddingLipschitz classes\(\Lambda\)-bounded variationmodulus of continuity of \(f\)

Mathematics Subject Classification ID

(H^p)-spaces (42B30) Functions of bounded variation, generalizations (26A45)

Related Items (6)

Embedding of classes of functions with bounded \(\Phi\)-variation into generalized Lipschitz spaces ⋮ Embedding Schramm spaces into Chanturiya classes ⋮ Inclusion of \(\varLambda BV^{(p)}\) spaces in the classes \(H_\omega^q\) ⋮ Estimates of \(L_p\) modulus of continuity of generalized bounded variation classes ⋮ On functions of bounded \(\Lambda\)-variation and integral smoothness ⋮ Embedding of generalized Lipschitz classes into classes of functions with \(\Lambda\)-bounded variation

Cites Work

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• Continuity moduli of functions from Waterman classes
• Embeddings of the classes \(H^\omega\)
• Fourier Series of Functions of Λ-Bounded Variation
• On the summability of Fourier series of functions of Λ-bounded variation
• On Λ-bounded variation
• Embeddings of classes of continuous functions in classes of functions of bounded generalized variation
• On the imbedding of the Waterman class in the class h p ω
• On convergence of Fourier series of functions of generalized bounded variation

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