On the convolution operator in Morrey spaces

Erlan D. Nursultanov, Durvudkhan Suragan

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

This paper is devoted to the study of upper bounds for the norm of the convolution operator in Morrey spaces. The spaces Mp,qα, which cover the classical Morrey spaces, are introduced. Moreover, their embedding properties are investigated, and their interpolation properties are described. Young-O'Neil type inequalities in Morrey spaces are proved. New results on the boundedness of Riesz's potential in Morrey spaces are established.

Original languageEnglish
Article number126357
JournalJournal of Mathematical Analysis and Applications
Volume515
Issue number1
DOIs
Publication statusPublished - Nov 1 2022

Keywords

  • Convolution operator
  • Interpolation theorems
  • Morrey spaces
  • Riesz's potential
  • Young-O'Neil inequality

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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