Calderon-Zygmund operators and their commutators on generalized weighted Orlicz-Morrey spaces

IF 1.1 2区数学 Q1 MATHEMATICS

Bulletin of Mathematical Sciences Pub Date : 2022-04-29 DOI:10.1142/s1664360722500047

F. Deringoz, V. Guliyev, M. Omarova, M. Ragusa

引用次数: 4

Abstract

In this paper, we obtain the necessary and suﬃcient conditions for the weak/strong boundedness of the Calder´on-Zygmund operators in generalized weighted Orlicz-Morrey spaces. We also study the boundedness of the commutators of Calder´on-Zygmund operators on these spaces. Moreover, the boundedness of Calder´on-Zygmund operators in the vector-valued set-ting is given.

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广义加权Orlicz-Morrey空间上的Calderon-Zygmund算子及其对易子

本文给出了广义加权Orlicz-Morrey空间中Calder´on-Zygmund算子弱/强有界性的充分必要条件。我们还研究了这些空间上Calder´on- zygmund算子的对易子的有界性。此外，给出了向量值集合中Calder´on-Zygmund算子的有界性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Bulletin of Mathematical Sciences MATHEMATICS-

CiteScore

2.10

自引率

0.00%

发文量

审稿时长

13 weeks

期刊介绍： The Bulletin of Mathematical Sciences, a peer-reviewed, open access journal, will publish original research work of highest quality and of broad interest in all branches of mathematical sciences. The Bulletin will publish well-written expository articles (40-50 pages) of exceptional value giving the latest state of the art on a specific topic, and short articles (up to 15 pages) containing significant results of wider interest. Most of the expository articles will be invited. The Bulletin of Mathematical Sciences is launched by King Abdulaziz University, Jeddah, Saudi Arabia.