Compactness of Multiplication Operators on Riesz Bounded Variation Spaces

Martha Guzmán-Partida*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We prove compactness of the operator MhCg on a subspace of the space of 2π-periodic functions of Riesz bounded variation on [-π, π], for appropriate functions g and h. Here Mh denotes multiplication by h and Cg convolution by g.

Original languageEnglish
Pages (from-to)167-174
Number of pages8
JournalTatra Mountains Mathematical Publications
Issue number1
StatePublished - 1 Jan 2022

Bibliographical note

Publisher Copyright:
© 2021 Mathematical Institute, Slovak Academy of Sciences.


  • Compactness
  • Multiplication operator
  • Riesz bounded variation


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