On the boundedness of $B$-Riesz potential and its commutators on generalized weighted $B$-Morrey spaces

IF 0.7 4区数学 Q2 MATHEMATICS

Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-04-22 DOI:10.15672/hujms.1221556

I. Ekincioğlu, J. Hasanov, C. Keskin

引用次数: 0

Abstract

In the present paper, we shall investigate a characterization for the boundedness of the $B$-Riesz potential and its commutators on the generalized weighted $B$-Morrey spaces. We also give a characterization for the generalized weighted $B$-Morrey spaces via the boundedness of the Riesz potential and its commutators generated by generalized translate operators associated with Laplace Bessel differential operator.

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广义加权$B$-Morrey空间上$B$-Riesz势及其对易子的有界性

本文研究了广义加权$B$-Morrey空间上$B$-Riesz势及其对易子的有界性。通过与拉普拉斯贝塞尔微分算子相关的广义平移算子所产生的Riesz势及其对易子的有界性，给出了广义加权$B$-Morrey空间的刻画。

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

Hacettepe Journal of Mathematics and Statistics 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

100

审稿时长

6-12 weeks

期刊介绍： Hacettepe Journal of Mathematics and Statistics covers all aspects of Mathematics and Statistics. Papers on the interface between Mathematics and Statistics are particularly welcome, including applications to Physics, Actuarial Sciences, Finance and Economics. We strongly encourage submissions for Statistics Section including current and important real world examples across a wide range of disciplines. Papers have innovations of statistical methodology are highly welcome. Purely theoretical papers may be considered only if they include popular real world applications.