Intrinsic Square Functions on Vanishing Generalized Orlicz-Morrey Spaces

We study the boundedness of intrinsic square functions and their commutators on vanishing generalized Orlicz-Morrey spaces. In all the cases the conditions for the boundedness are given in terms of Zygmund-type integral inequalities without assuming any monotonicity property. © 2017, Springer Science+Business Media Dordrecht.

Авторы
Deringoz F. 1 , Guliyev V.S. 1, 2, 3 , Ragusa M.A. 4
Journal
Set-Valued Analysis
Номер выпуска
4
Язык
English
Страницы
807-828
Статус
Published
Ссылка
Внешняя ссылка
DOI
10.1007/S11228-017-0422-Y
Том
25
Год
2017
Организации
  • 1 Department of Mathematics, Ahi Evran University, Kirsehir, Turkey
  • 2 Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan
  • 3 S.M. Nikolskii Institute of Mathematics at RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
  • 4 Dipartimento di Matematica e Informatica, Universitá di Catania, Catania, Italy
Ключевые слова
BMO; Commutator; Intrinsic square functions; Vanishing generalized Orlicz-Morrey spaces
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