加权变指标Herz-Morrey空间上的双线性Hardy算子的交换子

王盛荣, 徐景实

数学学报 ›› 2021, Vol. 64 ›› Issue (1) : 123-138.

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数学学报 ›› 2021, Vol. 64 ›› Issue (1) : 123-138. DOI: 10.12386/A2021sxxb0010
论文

加权变指标Herz-Morrey空间上的双线性Hardy算子的交换子

    王盛荣, 徐景实
作者信息 +

Commutators of Bilinear Hardy Operators on Weighted Herz–Morrey Spaces with Variable Exponents

    Sheng Rong WANG, Jing Shi XU
Author information +
文章历史 +

摘要

本文利用权范数给出BMO函数的一个新刻画.作为此刻画的一个应用,获得了双线性Hardy算子和BMO函数生成的交换子在加权变指标Herz-Morrey乘积空间上的有界性.

Abstract

We give a novel characterization of BMO functions via weighted norm. As an application, we obtain the boundedness of commutators generated by bilinear Hardy operator and BMO functions on products of weighted Herz-Morrey spaces with variable exponents.

关键词

Hardy算子 / 交换子 / Muckenhoupt权 / 变指标 / Herz-Morrey空间

Key words

Hardy operator / commutator / Muckenhoupt weight / variable exponent / Herz-Morrey space

引用本文

导出引用
王盛荣, 徐景实. 加权变指标Herz-Morrey空间上的双线性Hardy算子的交换子. 数学学报, 2021, 64(1): 123-138 https://doi.org/10.12386/A2021sxxb0010
Sheng Rong WANG, Jing Shi XU. Commutators of Bilinear Hardy Operators on Weighted Herz–Morrey Spaces with Variable Exponents. Acta Mathematica Sinica, Chinese Series, 2021, 64(1): 123-138 https://doi.org/10.12386/A2021sxxb0010

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基金

国家自然科学基金资助项目(11761026);海南省自然科学基金资助项目(2018CXTD338)

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