Nemytskii Operator in Riesz-Bounded Variation Spaces with Variable Exponent

René Erlín Castillo, Oscar Mauricio Guzmán, Humberto Rafeiro

Research output: Contribution to journalArticlepeer-review

Abstract

In this note, we characterize global Lipschitz Nemytskii operators in the Riesz-bounded variation space with variable exponent, and in the course of the proof, we also show that this space is a Banach algebra.

Original languageEnglish
Article number2
JournalMediterranean Journal of Mathematics
Volume14
Issue number1
DOIs
Publication statusPublished - Feb 1 2017
Externally publishedYes

Keywords

  • Bounded variation
  • Nemytskii operator
  • Variable exponent spaces

ASJC Scopus subject areas

  • Mathematics(all)

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