Uniformly continuous composition operators in the space of bounded φ-variation functions

Abstract:

We prove that, under some general assumptions, a generator of any uniformly continuous Nemytskii operator, mapping a subset of space of bounded variation functions in the sense of Wiener into another space of this type, must be an affine function. As a special case, we obtain an earlier result from Matkowski (in press) [4]. © 2009 Elsevier Ltd.

Año de publicación:

2010

Keywords:

• φ-variation in the sense of Wiener
• regularization
• Composition operator
• Uniformly continuous operator
• Jensen equation

Fuente:

scopus

google