[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2013.50.2.675

UNIFORMLY BOUNDED COMPOSITION OPERATORS ON A BANACH SPACE OF BOUNDED WIENER-YOUNG VARIATION FUNCTIONS

Glazowska, Dorota (Faculty of Mathematics Computer Science and Econometrics University of Zielona Gora)
Guerrero, Jose Atilio (Departamento de Matematicas y Fisica Universidad Nacional Experimental del Tachira)
Matkowski, Janusz (Institute of Mathematics University of Zielona Gora)
Merentes, Nelson (Escuela de Matematicas Universidad Central de Venezuela)

Publication Information

Bulletin of the Korean Mathematical Society / v.50, no.2, 2013 , pp. 675-685 More about this Journal

Abstract

We prove, under some general assumptions, that a generator of any uniformly bounded Nemytskij operator, mapping a subset of space of functions of bounded variation in the sense of Wiener-Young into another space of this type, must be an affine function with respect to the second variable.

Keywords

${\varphi}$ -variation in the sense of Wiener; uniformly bounded operator; regularization; composition operator; Jensen equation;

Citations & Related Records

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