Commutators of fractional maximal operator on generalized Orlicz–Morrey spaces

In the present paper, we shall give necessary and sufficient conditions for the Spanne and Adams type boundedness of the commutators of fractional maximal operator on generalized Orlicz–Morrey spaces, respectively. The main advance in comparison with the existing results is that we manage to obtain conditions for the boundedness not in integral terms but in less restrictive terms of supremal operators. © 2017, Springer International Publishing.

Authors
Deringoz F.1 , Guliyev V.S. 1, 2, 3 , Hasanov S.G.4
Journal
Positivity
Publisher
Birkhauser Verlag AG
Number of issue
1
Language
English
Pages
141-158
Status
Published
Link
External link
DOI
10.1007/s11117-017-0504-y
Volume
22
Year
2018
Organizations
  • 1 Department of Mathematics, Ahi Evran University, Kirsehir, Turkey
  • 2 S.M. Nikolskii Institute of Mathematics at RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mechanics, Baku, Azerbaijan
  • 4 Ganja State University, Ganja, Azerbaijan
Keywords
BMO; Commutator; Fractional maximal operator; Generalized Orlicz–Morrey space
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/6800/
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