The boundedness of Bessel-Riesz operators on Morrey spaces

Mochammad Idris, Hendra Gunawan, Janny Lindiarni, Eridani

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

7 Citations (Scopus)

Abstract

In this paper, we shall discuss about Bessel-Riesz operators. Kurata et al. have investigated their boundedness on generalized Morrey spaces with weight. The boundedness of these operators on Lebesgue spaces and Morrey spaces will be reproved using a different approach. Moreover, we also find the norm of the operators are bounded by the norm of the kernels.

Original languageEnglish
Title of host publicationInternational Symposium on Current Progress in Mathematics and Sciences 2015, ISCPMS 2015
Subtitle of host publicationProceedings of the 1st International Symposium on Current Progress in Mathematics and Sciences
EditorsTerry Mart, Djoko Triyono
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735413764
DOIs
Publication statusPublished - 19 Apr 2016
Event1st International Symposium on Current Progress in Mathematics and Sciences, ISCPMS 2015 - Depok, Indonesia
Duration: 3 Nov 20154 Nov 2015

Publication series

NameAIP Conference Proceedings
Volume1729
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference1st International Symposium on Current Progress in Mathematics and Sciences, ISCPMS 2015
Country/TerritoryIndonesia
CityDepok
Period3/11/154/11/15

Keywords

  • Bessel-Riesz operators
  • Hardy-Littlewood maximal operator
  • Morrey spaces

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