Locally Lipschitz composition operators in spaces of functions of bounded variation

DOI10.1007/s10231-010-0135-4zbMath1214.47058OpenAlexW2029648950MaRDI QIDQ628604

Jürgen Appell, Nelson Merentes, J. L. Sánchez Hernández

Publication date: 14 March 2011

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-010-0135-4

zbMATH Keywords

functions of bounded variationcomposition operatorlocal Lipschitz conditionHelly selection principleArzelà-Ascoli compactness criterion

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Linear function spaces and their duals (46E99) Functions of bounded variation, generalizations (26A45)

Related Items (3)

Locally Lipschitz composition operators in the space \(\Phi BV[a,b\)] ⋮ Locally Lipschitz composition operators in space of the functions of bounded \(\kappa \Phi\)-variation ⋮ A concept of absolute continuity and its characterization in terms of convergence in variation

Cites Work

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• On characterization of the Lipschitzian composition operator between spaces of functions of bounded $p$-variation
• On Nonlinear Contractions

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