On the generalized Wiener bounded variation spaces with p-variable

zbMath1497.26008arXiv2201.11537MaRDI QIDQ5866692

Shalva Zviadadze, Ani Ozbetelashvili

Publication date: 22 September 2022

Full work available at URL: https://arxiv.org/abs/2201.11537

zbMATH Keywords

generalized bounded variationvariable exponent spaces

Mathematics Subject Classification ID

Nonseparable Banach spaces (46B26) Duality and reflexivity in normed linear and Banach spaces (46B10) Functions of bounded variation, generalizations (26A45)

Cites Work

• On the theorem of F. Riesz in variable Lebesgue space
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Lebesgue and Sobolev spaces with variable exponents
• Orlicz spaces and modular spaces
• Variable exponent bounded variation spaces in the Riesz sense
• On approximation of M-absolutely continuous functions. II: Approximation by Steklov functions
• On approximation of M-absolutely continuous functions. III: Approximation by singular integrals
• Remarks on the generalized absolute continuity
• On the generalized Helly's theorem
• On the approximation of M-absolutely continuous functions. I: Approximation by step-functions
• Modular spaces of functions of bounded M-variation
• Bounded variation spaces with \(p\)-variable
• On generalized variations (I)
• Uniformly convex and reflexive modulared variation spaces

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