Relatively Compact Sets in Variable Exponent Morrey Spaces on Metric Spaces

We study a characterization of the precompactness of sets in variable exponent Morrey spaces on bounded metric measure spaces. Totally bounded sets are characterized from several points of view for the case of variable exponent Morrey spaces over metric measure spaces. This characterization is new in the case of constant exponents. © 2021, The Author(s).

Авторы
Bandaliyev R.A. 1, 2 , Górka P.3 , Guliyev V.S. 1, 2, 4, 5 , Sawano Y. 6
Журнал
Mediterranean Journal of Mathematics
Издательство
Birkhauser Verlag AG
Номер выпуска
6
Язык
Английский
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.1007/s00009-021-01828-z
Номер
232
Том
18
Год
2021
Организации
  • 1 People Friendship University of Russia (RUDN University), 6 Maklaya st, Moscow, 117198, Russian Federation
  • 2 Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan
  • 3 Department of Mathematics and Information Sciences, Warsaw University of Technology, Ul. Koszykowa 75, Warsaw, 00-662, Poland
  • 4 Department of Mathematics, Dumlupinar University, Kutahya, Turkey
  • 5 Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan
  • 6 Department of Mathematics and Information Science, Tokyo Metropolitan University, Hachioji-shi, Tokyo, Japan
Ключевые слова
compactness; Metric measure spaces; Morrey spaces; variable exponent Lebesgue spaces
Дата создания
16.12.2021
Дата изменения
16.12.2021
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/76472/
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