Parabolic local campanato estimates for commutators of parabolic fractional maximal and integral operators with rough kernel

GÜRBÜZ F.

Filomat, vol.34, no.4, pp.1147-1156, 2020 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 4
  • Publication Date: 2020
  • Doi Number: 10.2298/fil2004147g
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.1147-1156
  • Keywords: Commutator, Parabolic fractional integral operator, Parabolic fractional maximal operator, Parabolic generalized local Morrey space, Parabolic local Campanato space, Rough kernel
  • Hakkari University Affiliated: Yes

Abstract

In this paper, the author introduces parabolic generalized local Morrey spaces and parabolic local Campanato spaces, respectively and also establishes parabolic local Campanato estimates for commutators of parabolic fractional maximal and integral operators with rough kernel on parabolic generalized local Morrey spaces.