Embedding of classes of functions with bounded \(\Phi\)-variation into generalized Lipschitz spaces

DOI10.1007/S10474-016-0656-4zbMath1389.26018OpenAlexW2513829142MaRDI QIDQ1677531

Peng Zhang

Publication date: 10 November 2017

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0656-4

zbMATH Keywords

embeddingLipschitz classbounded \(\Phi\)-variation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Lipschitz (Hölder) classes (26A16) Functions of bounded variation, generalizations (26A45)

Related Items (4)

Embedding Schramm spaces into Chanturiya classes ⋮ Relations between Schramm spaces and generalized Wiener classes ⋮ Embedding generalized Wiener classes into Lipschitz spaces ⋮ The modulus of \(p\)-variation and its applications

Cites Work

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• Estimates ofL^p-continuity modulus of ΛBV functions and applications in Fourier series
• Absolute convergence of Fourier series of functions of λBV(p) and ϕλBV
• Embedding of classes of functions with λ_φ-bounded variation into generalized Lipschitz classes
• Functions of Φ-Bounded Variation and Riemann-Stieltjes Integration
• On the summability of Fourier series of functions of Λ-bounded variation
• On Λ-bounded 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
• A note on embedding of classes \(H^{\omega}\)

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