Commutators of riesz potential in the vanishing generalized weighted morrey spaces with variable exponent

Let Ω⊂Rn be an unbounded open set. We consider the generalized weighted Morrey spaces Mp(.),φω(Ω) and the vanishing generalized weighted Morrey spaces VMp(.),φω(Ω) with variable exponent p(x) and a general function φ(x,r) defining the Morrey-type norm. The main result of this paper are the boundedness of Riesz potential and its commutators on the spaces Mp(.),φω(Ω) and VMp(.),φω(Ω). This result generalizes several existing results for Riesz potential and its commutators on Morrey type spaces. Especially, it gives a unified result for generalized Morrey spaces and variable Morrey spaces which currently gained a lot of attentions from researchers in theory of function spaces. © 2019 Element D.O.O. All Rights Reserved.

Авторы
Guliyev V.S. 1, 2, 3 , Hasanov J.J.4 , Badalov X.A.3
Издательство
Element D.O.O.
Номер выпуска
1
Язык
Английский
Страницы
331-351
Статус
Опубликовано
Том
22
Год
2019
Организации
  • 1 Dumlupinar University, Department of Mathematics, Kutahya, 43020, 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, Baku, AZ 1601, Azerbaijan
Ключевые слова
Bmo space; Commutator; Riesz potential; Vanishing generalized weighted morrey space with variable exponent
Дата создания
19.07.2019
Дата изменения
19.07.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/39061/