Uniformly continuous composition operators in the space of functions of \(\varphi \)-variation with weight in the sense of Riesz

DOI10.1016/j.na.2010.09.010zbMath1204.26014OpenAlexW2002708652MaRDI QIDQ608411

A. Azócar, Wadie Aziz, José Atilio Guerrero, Nelson Merentes

Publication date: 25 November 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.09.010

zbMATH Keywords

weight functionJensen equation\(\varphi \)-variation in the sense of Rieszuniformly continuous composition operator

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Linear operators on function spaces (general) (47B38) Functions of bounded variation, generalizations (26A45)

Related Items (3)

UNIFORMLY BOUNDED COMPOSITION OPERATORS ⋮ Uniformly bounded composition operators in the Banach space of bounded \((p, k)\)-variation in the sense of Riesz-Popoviciu ⋮ Unnamed Item

Cites Work

• Uniformly continuous superposition operators in the Banach space of Hölder functions
• Lipschitzian Superposition Operators Between Spaces of Functions of Bounded Generalized Variation with Weight
• Uniformly continuous superposition operators in the space of bounded variation functions
• On characterization of the Lipschitzian composition operator between spaces of functions of bounded $p$-variation
• Uniformly Continuous Superposition Operators in the Spaces of Differentiable Functions and Absolutely Continuous Functions
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