Locally Lipschitz composition operators in space of the functions of bounded \(\kappa \Phi\)-variation

DOI10.1155/2014/606307zbMath1309.47063OpenAlexW2057608884WikidataQ59057557 ScholiaQ59057557MaRDI QIDQ2256677

Nelson Merentes, Odalis Mejía, Beata Rzepka

Publication date: 20 February 2015

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/606307

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Banach spaces of continuous, differentiable or analytic functions (46E15) Functions of bounded variation, generalizations (26A45)

Related Items (1)

The spaces of functions of two variables of bounded \(\kappa \Phi\)-variation in the sense of Schramm-Korenblum

Cites Work

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• Locally Lipschitz composition operators in the space \(\Phi BV[a,b\)]
• The Kolmogorov-Riesz compactness theorem
• Locally Lipschitz composition operators in spaces of functions of bounded variation
• An extension of the Nevanlinna theory
• The composition operator and the space of the functions of bounded variation in Schramm-Korenblum's sense
• Helly's selection principle for functions of bounded \(p\)-variation
• Functions of Φ-Bounded Variation and Riemann-Stieltjes Integration
• The decomposition of functions of bounded ϰ-variation into differences of ϰ-decreasing functions
• Selections of Bounded Variation
• Bounded Variation and Around

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