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

IF 4.3 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

ACS Applied Electronic Materials 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

ACS Applied Electronic Materials Multiple-

CiteScore

7.20

自引率

4.30%

发文量

567