TITLE:
Uniformly Bounded Set-Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz
AUTHORS:
Wadie Aziz, Nelson Merentes
KEYWORDS:
j-Variation in the Sense of Riesz, Set-Valued Functions, Left and Right Regularizations, Uniformly Bounded Operator, Composition (Nemytskij) Operator, Jensen Equation
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.4 No.4,
November
24,
2015
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.