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Uniformly Bounded Set-Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz
Departamento de Física y Matemática, Universidad de Los Andes, Trujillo, Venezuela
Escuela de Matemática, Universidad Central de Venezuela, Caracas, Venezuela
- 1 Departamento de Física y Matemática, Universidad de Los Andes, Trujillo, Venezuela
- 2 Escuela de Matemática, Universidad Central de Venezuela, Caracas, Venezuela
International Journal of Modern Nonlinear Theory and Application·Volume 04 (2015)·Pages 226–233·Published 12 November 2015·DOI10.4236/ijmnta.2015.44017
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Abstract
We show that the lateral regularizations of the generator of any uniformly bounded set-valued composition Nemytskij operator acting in the spaces of functions of bounded variation in the sense of Riesz, with nonempty bounded closed and convex values, are an affine function.
Keywords<span style="font-family:Symbol">j</span>-Variation in the Sense of RieszSet-Valued FunctionsLeft and Right RegularizationsUniformly Bounded OperatorComposition (Nemytskij) OperatorJensen Equation
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