Mappings of generalized variation and composition operators

DOI10.1023/A:1015018310969zbMath1033.26013OpenAlexW110273207MaRDI QIDQ1608112

Vyacheslav V. Chistyakov

Publication date: 12 September 2002

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015018310969

zbMATH Keywords

normed spacefunctions of bounded variationLuxemburg-Nakano-Orlicz normNemytskij composition operators

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Linear composition operators (47B33) Functions of bounded variation, generalizations (26A45) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (13)

On superposition operators in spaces \(BV_{\varphi}(0,1)\) ⋮ Uniformly continuous composition operators in the space of bounded \(\varphi \)-variation functions ⋮ Uniformly bounded composition operators on the space of bounded variation functions in the sense of Waterman ⋮ Uniformly bounded Nemytskij operators between the Banach spaces of functions of bounded \(n\)-th variation ⋮ \(BV_{\phi}\)-solutions of nonlinear integral equations. ⋮ Locally defined operators in the space of functions of bounded \(\varphi \)-variation ⋮ A generalization of the Helly theorem for functions with values in a uniform space ⋮ A Banach algebra of functions of several variables of finite total variation and Lipschitzian superposition operators. I ⋮ On second \(\kappa\)-variation ⋮ Properties of multiplication operators on the space of functions of bounded \(\varphi\)-variation ⋮ The optimal form of selection principles for functions of a real variable ⋮ Modular metric spaces. I: Basic concepts ⋮ Modular metric spaces. II: Application to superposition operators

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