Bilinear rough singular integral operators on Morrey spaces

Recently Grafakos et al., have proved that the bilinear rough singular integral operators are bounded on Lebesgue spaces. Here we aim to show that these operators extend to bounded linear operators on Morrey spaces as well. Although the proof hinges on the boundedness due to Grafakos et al., the proof seems to give a general technique to prove or extend the boundedness of the operators. © 2019, Forum D'Analystes, Chennai.

Авторы
Salim D.1 , Sawano Y. 2, 3 , Zanu P.1
Журнал
Издательство
Springer Science and Business Media B.V.
Номер выпуска
3
Язык
Английский
Страницы
817-825
Статус
Опубликовано
Том
28
Год
2020
Организации
  • 1 Analysis and Geometry Group, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung, 40132, Indonesia
  • 2 Department of Mathematics and Information Science, Tokyo Metropolitan University, Minamioosawa 1-1, Hachouji-city, Tokyo 192-0364, Japan
  • 3 Department of Mathematics Analysis and the Theory of functions, Peoples’ Friendship University of Russia, Moscow, Russian Federation
Ключевые слова
Bilinear operators; Morrey spaces; Rough operators; Singular integral operators
Дата создания
16.12.2021
Дата изменения
16.12.2021
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/76374/
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