Composing Functions of Bounded ϕ-Variation

DOI10.2307/2046589zbMath0603.26004OpenAlexW4240354946MaRDI QIDQ3739375

Władysław Orlicz, Jarosław Ciemnoczołowski

Publication date: 1986

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

Full work available at URL: https://doi.org/10.2307/2046589

zbMATH Keywords

compositionLipschitz conditionFunctions of bounded \(\phi \)-variation

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Functions of bounded variation, generalizations (26A45)

Related Items (13)

Uniformly continuous composition operators in the space of bounded \(\varphi \)-variation functions ⋮ On nonlinear integral equations in the space of functions of bounded generalized \(\varphi\)-variation ⋮ On the superposition operator in the space of functions of bounded variation, revisited ⋮ Locally Lipschitz composition operators in the space \(\Phi BV[a,b\)] ⋮ Locally Lipschitz composition operators in spaces of functions of bounded variation ⋮ Uniformly bounded set-valued composition operators in the spaces of functions of bounded variation in the sense of Wiener ⋮ \(BV_{\phi}\)-solutions of nonlinear integral equations. ⋮ The composition operator and the space of the functions of bounded variation in Schramm-Korenblum's sense ⋮ Lipschitz and Darbo conditions for the superposition operator in some non-ideal spaces of smooth functions ⋮ A counterexample to Ljamin’s theorem ⋮ A Banach algebra of functions of several variables of finite total variation and Lipschitzian superposition operators. I ⋮ Sequences of composition operators in spaces of functions of bounded \(\Phi\)-variation ⋮ Relatively compact sets of Banach space-valued bounded-variation spaces

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