Lipschitzian composition operators in some function spaces

DOI10.1016/S0362-546X(96)00287-8zbMath0894.47052MaRDI QIDQ4374903

Janusz Matkowski

Publication date: 8 September 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Nemytskij operatorspace of absolutely continuous functions

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)

Related Items (19)

Spectral parameter power series method for discontinuous coefficients ⋮ The Nemytskii operator in bounded \((p,\alpha)\)-variation space ⋮ Locally Lipschitz composition operators and applications to nonlinear integral equations ⋮ On uniformly continuous Nemytskij operators generated by set-valued functions ⋮ Uniformly bounded Nemytskij operators between the Banach spaces of functions of bounded \(n\)-th variation ⋮ Uniformly bounded set-valued Nemytskij operators acting between generalized Hölder function spaces ⋮ Uniformly bounded set-valued composition operators in the spaces of functions of bounded variation in the sense of Wiener ⋮ On Nemytskij operator of substitution in the C1 space of set-valued functions ⋮ Uniformly bounded composition operators in the Banach space of absolutely continuous functions ⋮ Nemytskii operator on \((\phi,2,\alpha )\)-bounded variation space in the sense of Riesz ⋮ Selections of Bounded Variation ⋮ A Banach algebra of functions of several variables of finite total variation and Lipschitzian superposition operators. I ⋮ Uniformly continuous superposition operators in the space of bounded variation functions ⋮ Lipschitzian Operators of Substitution in the Algebra ΛBV ⋮ Uniformly continuous superposition operators in the Banach space of Hölder functions ⋮ Unnamed Item ⋮ Modular metric spaces. II: Application to superposition operators ⋮ On the autonomous Nemytskij operator in Hölder spaces ⋮ On Nemytskij operator in the space of absolutely continuous set-valued functions

Cites Work

• A functional inequality characterizing convex functions, conjugacy and a generalization of Hölder's and Minkowski's inequalities
• An application of B. N. Sadovskij's fixed point principle to nonlinear singular equations
• On a Characterization of Lipschitzian Operators of Substitution in the SpaceBV{a, b)
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