Maximal operator and Calderon–Zygmund operators in local Morrey–Lorentz spaces

Guliyev V., Aykol C., Kucukaslan A., ŞERBETÇİ A.

Integral Transforms and Special Functions, vol.27, no.11, pp.866-877, 2016 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 27 Issue: 11
  • Publication Date: 2016
  • Doi Number: 10.1080/10652469.2016.1227329
  • Journal Name: Integral Transforms and Special Functions
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.866-877
  • Keywords: Calderon–Zygmund operator, Local Morrey–Lorentz spaces, maximal Calderon–Zygmund operator, maximal operator
  • Ankara Yıldırım Beyazıt University Affiliated: Yes

Abstract

© 2016 Informa UK Limited, trading as Taylor & Francis Group.In this paper we proved the boundedness of the Hardy–Littlewood maximal operator M, the Calderon–Zygmund operators T and the maximal Calderon–Zygmund operators T on the local Morrey–Lorentz spaces Mloc p,q;λ(Rn). Finally, we give some applications of these results.