On the Nemytskii operator in the space of functions of bounded \((p,2,\alpha)\)-variation with respect to the weight function

DOI10.2478/dema-2014-0074zbMath1304.47070OpenAlexW2071876409MaRDI QIDQ488830

Wadie Aziz

Publication date: 26 January 2015

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/dema-2014-0074

zbMATH Keywords

weight functionNemytskij operatorcomposition operatorJensen equation\(\alpha\)-convex functionsvariation in the sense of de la Vallée Poussinvariation in the sense of Riesz

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Cites Work

• On functions of bounded (p,2)-variation
• Lipschitzian Superposition Operators Between Spaces of Functions of Bounded Generalized Variation with Weight
• Generalized Integrals with Respect to Functions of Bounded Variation
• On a Characterization of Lipschitzian Operators of Substitution in the SpaceBV{a, b)
• BC-SOLUTIONS OF NONLINEAR FUNCTIONAL EQUATION—A NONUNIQUENESS CASE
• Some results on AC-ω functions
• Some Results on ω-Derivatives and BV-ω Functions
• Functions of Bounded Second Variation and Stieltjes-Type Integrals
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