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Title

Uniformly continuous composition operator in the space of φ-variation functions in the sense of Riesz

Authors

Year of publication

2010

Published in

Fasciculi Mathematici

Journal year: 2010 | Journal number: nr 43

Article type

scientific article

Publication language

english

Keywords
EN
  • uniformly continuous composition operator
  • Jensen equation
Abstract

EN Assuming that a Nemytskii operator maps a subset of the space of bounded variation functions in the sense of Riesz into another space of the same type, and is uniformly continuous, we prove that the generator of the operator is an affine function.

Pages (from - to)

5 - 11

License type

CC BY-NC-ND (attribution - noncommercial - no derivatives)

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