广义Orlicz-Morrey空间上的真Calderón-Zygmund算子和对易子的刻画

IF 3.2 1区数学 Q1 MATHEMATICS

Advances in Nonlinear Analysis Pub Date : 2023-01-01 DOI:10.1515/anona-2022-0307

V. Guliyev, Meriban N. Omarova, M. Ragusa

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引用次数: 3

摘要

摘要本文证明了广义Orlicz-Morrey空间MΦ，φ（RN）｛M｝^｛\Phi，\varphi｝\left（｛｛\mathbb｛R｝｝｝｝^｝n｝）中Calderón-Zygmund算子〔b，T〕\left〔b，T〕与BMO函数的交换子的连续性。我们分别给出了广义Orlicz-Morrey空间上真Calderón-Zygmund算子T的有界性及其交换子[b，T]\left[b，T]的有界的充要条件。

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Characterizations for the genuine Calderón-Zygmund operators and commutators on generalized Orlicz-Morrey spaces

Abstract In this article, we show continuity of commutators of Calderón-Zygmund operators [ b , T ] \left[b,T] with BMO functions in generalized Orlicz-Morrey spaces M Φ , φ ( R n ) {M}^{\Phi ,\varphi }\left({{\mathbb{R}}}^{n}) . We give necessary and sufficient conditions for the boundedness of the genuine Calderón-Zygmund operators T T and for their commutators [ b , T ] \left[b,T] on generalized Orlicz-Morrey spaces, respectively.

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来源期刊

Advances in Nonlinear Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

6.00

自引率

9.50%

发文量

审稿时长

30 weeks

期刊介绍： Advances in Nonlinear Analysis (ANONA) aims to publish selected research contributions devoted to nonlinear problems coming from different areas, with particular reference to those introducing new techniques capable of solving a wide range of problems. The Journal focuses on papers that address significant problems in pure and applied nonlinear analysis. ANONA seeks to present the most significant advances in this field to a wide readership, including researchers and graduate students in mathematics, physics, and engineering.