Maximal and singular integral operators and their commutators on generalized weighted morrey spaces with variable exponent

We consider the generalized weighted Morrey spaces Mp(),σ w (Ω) with variable exponent p(x) and a general function σ(x, r) defining the Morrey-type norm. In case of unbounded sets Ω ⊂ Rn we prove the boundedness of the Hardy-Littlewood maximal operator and Calderón-Zygmund singular operators with standard kernel, in such spaces. We also prove the boundedness of the commutators of maximal operator and Calderón-Zygmund singular operators in the generalized weighted Morrey spaces with variable exponent. © ELEMEN , Zagreb.

Авторы
Guliyev V.S. 1, 2, 3 , Hasanov J.J.3, 4 , Badalov X.A.3
Издательство
Element D.O.O.
Номер выпуска
1
Язык
Английский
Страницы
41-61
Статус
Опубликовано
Том
21
Год
2018
Организации
  • 1 Ahi Evran University, Department of Mathematics, Kirsehir, 40100, Turkey
  • 2 S. M. Nikol'skii Institute of Mathematics, RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mechanics, Az 1141, B.Vahabzadeh str. 9, Baku, Azerbaijan
  • 4 Azerbaijan State Oil and Industry University, Azadlig av. 20, AZ 1601, Baku, Azerbaijan
Ключевые слова
BMO space; Generalized weighted Morrey space with variable exponent; Maximal operator; Singular integral operators
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/7283/