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

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. © 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group.

Authors
Guliyev V. 1, 2, 3 , Ekincioglu I.1 , Kaya E.1 , Safarov Z.1, 4
Journal
Integral Transforms and Special Functions
Publisher
Taylor and Francis Ltd.
Number of issue
6
Language
English
Pages
453-470
Status
Published
Link
External link
DOI
10.1080/10652469.2019.1581777
Volume
30
Year
2019
Organizations
  • 1 Department of Mathematics, Dumlupinar University, Kutahya, Turkey
  • 2 Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan
  • 3 S.M. Nikolskii Institute of Mathematics at RUDN University, Moscow, Russian Federation
  • 4 Azerbaijan State Oil and Industry University, Baku, Azerbaijan
Keywords
42B25; 42B35; 43A15; 43A80; BMO; Carnot group; commutator; fractional maximal operator; generalized Morrey space
Date of creation
19.07.2019
Date of change
19.07.2019
Short link
https://repository.rudn.ru/en/records/article/record/38593/
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