Characterization of the boundedness of fractional maximal operator and its commutators in Orlicz and generalized Orlicz–Morrey spaces on spaces of homogeneous type

In this paper, we establish the necessary and sufficient conditions for the boundedness of fractional maximal operator Mα and the fractional maximal commutators Mb,α in Orlicz LΦ(X) and generalized Orlicz–Morrey spaces MΦ,φ(X) on spaces of homogeneous type X= (X, d, μ) in the sense of Coifman-Weiss. © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature.

Authors
Deringoz F.1 , Dorak K.1 , Guliyev V.S. 2, 3, 4
Journal
Analysis and Mathematical Physics
Publisher
Springer Basel
Number of issue
2
Language
English
Status
Published
Link
External link
DOI
10.1007/s13324-021-00497-1
Number
63
Volume
11
Year
2021
Organizations
  • 1 Department of Mathematics, Ahi Evran University, Kirsehir, Turkey
  • 2 Department of Mathematics, Dumlupinar University, Kutahya, Turkey
  • 3 Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan
  • 4 Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Keywords
Commutator; Fractional maximal operator; Generalized Orlicz–Morrey space; Orlicz space; Spaces of homogeneous type
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/71972/
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