n维Hausdorff交换子的加权估计

陶双平, 任转喜

数学学报 ›› 2014, Vol. 57 ›› Issue (2) : 351-364.

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数学学报 ›› 2014, Vol. 57 ›› Issue (2) : 351-364. DOI: 10.12386/A2014sxxb0035
论文

n维Hausdorff交换子的加权估计

    陶双平, 任转喜
作者信息 +

Weighted Estimates for Commutators of n-Dimensional Hausdorff Operators

    Shuang Ping TAO, Zhuan Xi REN
Author information +
文章历史 +

摘要

本文得到了由 n 维 Hausdorff 算子和加权 Lipschitz 及CO 函数生成的交换子在加权 Lebesgue 空间,加权 Herz型等一些函数空间上的有界性.

Abstract

In this apper, we establish the boundedness of commutators generated by the n-dimensional Hausdorff operator and weighted Lipschitz or CO functions on some function spaces, such as weighted Lebesgue spaces and weighted Herz type spaces.

关键词

Hausdorff 算子 / 加权 Lipschitz 函数 / 交换子 / 加权 Herz 空间

Key words

Hausdorff operator / weighted Lipschitz functions / commutator / weighted Herz spaces

引用本文

导出引用
陶双平, 任转喜. n维Hausdorff交换子的加权估计. 数学学报, 2014, 57(2): 351-364 https://doi.org/10.12386/A2014sxxb0035
Shuang Ping TAO, Zhuan Xi REN. Weighted Estimates for Commutators of n-Dimensional Hausdorff Operators. Acta Mathematica Sinica, Chinese Series, 2014, 57(2): 351-364 https://doi.org/10.12386/A2014sxxb0035

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基金

国家自然科学基金资助项目(11161042,11071250)

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