Commutators of fractional maximal operator in variable Lebesgue spaces over bounded quasi-metric measure spaces

We study the fractional maximal commutators (Formula presented.) and the commutators (Formula presented.) of the fractional maximal operator with (Formula presented.) in the variable Lebesgue spaces (Formula presented.) over bounded quasi-metric measure spaces. We give necessary and sufficient conditions for the boundedness of the operators (Formula presented.) and (Formula presented.) on the spaces (Formula presented.) when (Formula presented.). Furthermore, we obtain some new characterizations for certain subspaces of (Formula presented.). © 2022 John Wiley & Sons, Ltd.

Authors
Guliyev V.S. 1, 2 , Samko S.G.3, 4
Journal
Mathematical Methods in the Applied Sciences
Publisher
John Wiley and Sons Ltd
Language
English
Status
Published
Link
External link
DOI
10.1002/mma.8303
Year
2022
Organizations
  • 1 Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan
  • 2 Peoples Friendship University of Russia (RUDN University), Moscow, Russian Federation
  • 3 Department of Mathematics, Faculty of Science, University of Algarve, Faro, Portugal
  • 4 Kh. Ibragimov Complex Institute of Russian Academy of Science, Grosny, Russian Federation
Keywords
BMO; commutators; fractional maximal function; quasi-metric measure spaces; variable Lebesgue spaces
Date of creation
06.07.2022
Date of change
06.07.2022
Short link
https://repository.rudn.ru/en/records/article/record/84124/
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