Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz–Morrey spaces of the third kind

In the present paper, we will characterize the boundedness of the generalized fractional integral operators Iρ and the generalized fractional maximal operators Mρ on Orlicz spaces, respectively. Moreover, we will give a characterization for the Spanne-type boundedness and the Adams-type boundedness of the operators Mρ and Iρ on generalized Orlicz–Morrey spaces, respectively. Also we give criteria for the weak versions of the Spanne-type boundedness and the Adams-type boundedness of the operators Mρ and Iρ on generalized Orlicz–Morrey spaces. © 2018, Springer Nature Switzerland AG.

Авторы
Deringoz F.1 , Guliyev V.S. 2, 3, 4 , Nakai E.5 , Sawano Y. 4, 6 , Shi M.5
Редакторы
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Журнал
Издательство
Birkhauser Verlag AG
Номер выпуска
-
Язык
Английский
Страницы
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Статус
Опубликовано
Подразделение
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Номер
-
Том
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Год
2018
Организации
  • 1 Department of Mathematics, Ahi Evran University, Kirsehir, Turkey
  • 2 Department of Mathematics, Dumlupinar University, Kutahya, Turkey
  • 3 Institute of Mathematics and Mechanics, Baku, Azerbaijan
  • 4 S.M. Nikolskii Institute of Mathematics at RUDN University, Moscow, 117198, Russian Federation
  • 5 Department of Mathematics, Ibaraki University, Mito, Ibaraki 310-8512, Japan
  • 6 Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji, Tokyo 192-0397, Japan
Ключевые слова
42B20; 42B25; 42B35; 46E30; Generalized fractional integral; Generalized fractional maximal function; Generalized Orlicz-Morrey spaces; Orlicz spaces
Дата создания
04.02.2019
Дата изменения
04.02.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/36595/