Uniformly bounded composition operators in the Banach space of bounded \((p, k)\)-variation in the sense of Riesz-Popoviciu
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Publication:1935603
DOI10.2478/s11533-012-0051-5zbMath1296.47054OpenAlexW2043341922MaRDI QIDQ1935603
Francy Armao, Sergio Rivas, Jessica Rojas, Dorota Głazowska
Publication date: 18 February 2013
Published in: Central European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/s11533-012-0051-5
uniformly continuous mappinguniformly bounded mappingde la Vallée Poussin second-variationNemytskij (compositionPopoviciu \(k\)-th variationsuperposition) operator
Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Linear operators on function spaces (general) (47B38) Functions of bounded variation, generalizations (26A45)
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Cites Work
- Uniformly bounded Nemytskij operators between the Banach spaces of functions of bounded \(n\)-th variation
- On functions of bounded \((p, k)\)-variation
- Uniformly bounded composition operators between general Lipschitz function normed spaces
- Locally defined operators in Hölder's spaces
- Uniformly continuous composition operators in the space of functions of \(\varphi \)-variation with weight in the sense of Riesz
- Representation theorem for locally defined operators in the space of Whitney differentiable functions
- Uniformly continuous composition operators in the space of bounded \(\varphi \)-variation functions
- Locally defined operators and a partial solution of a conjecture
- Superposition operators in the algebra of functions of two variables with finite total variation
- On the composition operator in \(RV_ \Phi[a,b\)]
- Uniformly continuous superposition operators in the Banach space of Hölder functions
- On mappings of finite generalized variation and nonlinear operators
- Locally defined operators in the space of Whitney differentiable functions
- Representation theorem for local operators in the space of continuous and monotone functions
- Lipschitzian Superposition Operators Between Spaces of Functions of Bounded Generalized Variation with Weight
- Uniformly continuous set-valued composition operators in the space of total φ-bidimentional variation in the sense of Riesz
- Uniformly continuous set-valued composition operators in the spaces of functions of bounded variation in the sense of Wiener
- Uniformly Continuous Set-Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz
- On a Characterization of Lipschitzian Operators of Substitution in the SpaceBV{a, b)
- A Banach space of functions of generalized variation
- Lipschitzian Operators of Substitution in the Algebra ΛBV
- Characterization of Globally Lipschitzian Nemytskii Operator in the Banach Space ACr‐1
- REMARK ON GLOBALLY LIPSCHITZIAN COMPOSITION OPERATORS
- On characterization of the Lipschitzian composition operator between spaces of functions of bounded $p$-variation
- Functions of Bounded k th Variation
- Generalized variation of mappings with applications to composition operators and multifunctions
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