The form of locally defined operators in Waterman spaces

Małgorzata Wróbel

doi:10.1515/ms-2021-0069

Authors

Małgorzata Wróbel Czestochowa University of Technology

DOI:

https://doi.org/10.1515/ms-2021-0069

Keywords:

locally defined operator, Nemytskij composition operator, Waterman type variation, continuous function, locally bounded operator, uniformly bounded operator

Abstract

A representation formula for locally defined operators acting between Banach spaces of continuous functions of bounded variation in the Waterman sense is presented. Moreover, the Nemytskij composition operators will be investigated and some consequences for locally bounded as well as uniformly bounded local operators will be given.

Author Biography

Małgorzata Wróbel, Czestochowa University of Technology

Department of Mathematics
Czestochowa University of Technology
al. Armii Krajowej 21
PL 42-200 Czȩstochowa
POLAND