On functions of \((p, \alpha)\)-bounded variation

DOI10.14321/REALANALEXCH.34.1.0049zbMath1179.26032OpenAlexW1530621034MaRDI QIDQ1029974

Eduard Trousselot, René Erlín Castillo

Publication date: 14 July 2009

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14321/realanalexch.34.1.0049

zbMATH Keywords

Riesz \(p\)-variation\((p,\alpha)\)-bounded variation

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Functions of bounded variation, generalizations (26A45)

Related Items (7)

Unnamed Item ⋮ The Nemytskii operator in bounded \((p,\alpha)\)-variation space ⋮ Nemytskii operator on \((\phi,2,\alpha )\)-bounded variation space in the sense of Riesz ⋮ Characterization of the \(\text{RV}_{\phi, 2, \alpha}([a, b)\) space] ⋮ Unnamed Item ⋮ Space of functions with some generalization of bounded variation in the sense of de La Vallée Poussin ⋮ Bounded variation spaces with \(p\)-variable

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