A characterization for fractional integral and its commutators in Orlicz and generalized Orlicz–Morrey spaces on spaces of homogeneous type

In this paper, we investigate the boundedness of maximal operator and its commutators in generalized Orlicz–Morrey spaces on the spaces of homogeneous type. As an application of this boundedness, we give necessary and sufficient condition for the boundedness of fractional integral and its commutators in these spaces. We also discuss criteria for the boundedness of these operators in Orlicz spaces. © 2019, Springer Nature Switzerland AG.

Authors
Guliyev V.S. 1, 2, 3 , Deringoz F.4
Journal
Analysis and Mathematical Physics
Publisher
Springer Basel
Number of issue
4
Language
English
Pages
1991-2019
Status
Published
Link
External link
DOI
10.1007/s13324-019-00295-w
Volume
9
Year
2019
Organizations
  • 1 S.M. Nikolskii Institute of Mathematics, RUDN University, Moscow, Russian Federation
  • 2 Department of Mathematics, Dumlupinar University, Kutahya, Turkey
  • 3 Institute of Mathematics and Mechanics, Baku, Azerbaijan
  • 4 Department of Mathematics, Ahi Evran University, Kirsehir, Turkey
Keywords
Commutator; Fractional integral; Generalized Orlicz–Morrey space; Maximal operator; Orlicz space; Spaces of homogeneous type
Date of creation
24.12.2019
Date of change
24.12.2019
Short link
https://repository.rudn.ru/en/records/article/record/54824/
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