Anisotropic fractional maximal commutators with BMO functions on anisotropic Morrey-type spaces

In the present paper, we shall give necessary and sufficient conditions for the boundedness of anisotropic fractional maximal commutator Mb,αd on anisotropic local Morrey-type spaces, when b belongs to BMO spaces, by which some new characterizations for BMO spaces is obtained. As an application of this results we consider the boundedness of commutators of anisotropic fractional maximal operator [b, Mαd] on anisotropic global Morrey-type spaces. © 2020, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.

Authors
Akbulut A.1 , Burenkov V.I. 2, 3 , Guliyev V.S. 4, 5, 6
Journal
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
Publisher
Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
Number of issue
4
Language
English
Pages
13-32
Status
Published
Link
External link
Volume
40
Year
2020
Organizations
  • 1 Ahi Evran University, Department of Mathematics, Kirsehir, Turkey
  • 2 S.M. Nikolskii Institute of Mathematics at RUDN University, Moscow, Russian Federation
  • 3 Cardiff School of Mathematics, Cardiff University, Cardiff, United Kingdom
  • 4 Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan
  • 5 Dumlupinar University, Department of Mathematics, Kutahya, Turkey
  • 6 Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan
Keywords
Anisotropic fractional maximal function; Anisotropic local and global Morrey-type spaces; BMO; Commutator
Date of creation
20.04.2021
Date of change
21.07.2021
Short link
https://repository.rudn.ru/en/records/article/record/72836/
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