Characterizations for the fractional maximal commutator operator in generalized Morrey spaces on Carnot group

Guliyev V., Ekincioglu I., KAYA E., Safarov Z.

Integral Transforms and Special Functions, vol.30, no.6, pp.453-470, 2019 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 6
  • Publication Date: 2019
  • Doi Number: 10.1080/10652469.2019.1581777
  • Journal Name: Integral Transforms and Special Functions
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.453-470
  • Keywords: 42B25, 42B35, 43A15, 43A80, BMO, Carnot group, commutator, fractional maximal operator, generalized Morrey space
  • Bilecik Şeyh Edebali University Affiliated: No

Abstract

In this paper, we will obtain the new results of the strong and weak Spanne-Guliyev, Adams-Guliyev and Adams-Gunawan type boundedness characterization of the fractional maximal operator M α in generalized Morrey spaces, respectively. Moreover, we will give a characterization for the boundedness of the fractional maximal commutator operator M b,α in generalized Morrey spaces.