Characterizations for the genuine Calderón-Zygmund operators and commutators on generalized Orlicz-Morrey spaces

In this article, we show continuity of commutators of Calderón-Zygmund operators [ b, T ] with BMO functions in generalized Orlicz-Morrey spaces Mφ, φ (Rn). We give necessary and sufficient conditions for the boundedness of the genuine Calderón-Zygmund operators T T and for their commutators [ b, T] on generalized Orlicz-Morrey spaces, respectively. © 2023 the author(s), published by De Gruyter.

Авторы
Guliyev V.S. , Omarova M.N. , Ragusa M.A.
Журнал
Advances in Nonlinear Analysis
Издательство
De Gruyter
Номер выпуска
1
Язык
Английский
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.1515/ANONA-2022-0307
Номер
20220307
Том
12
Год
2023
Организации
  • 1 Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan
  • 2 Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mechanics, Baku, Azerbaijan
  • 4 Baku State University, Baku, Azerbaijan
  • 5 Department of Mathematics and Computer Science, University of Catania, Catania, Italy
Ключевые слова
BMO; commutator; generalized Orlicz-Morrey spaces; genuine Calderón-Zygmund operator
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