Two-Weighted Inequalities for Hausdorff Operators in Herz-Type Hardy Spaces

被引：0
作者：
N. M. Chuong
D. V. Duong
K. H. Dung
机构：
[1] Vietnamese Academy of Science and Technology,Institute of Mathematics
[2] Mientrung University of Civil Engineering,School of Mathematics
[3] University of Transport and Communications,School of Mathematics
来源：
Mathematical Notes | 2019年 / 106卷
关键词：
Hausdorff operator; Herz space; Herz-type Hardy space; A; weight; atom;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove the boundedness of matrix Hausdorff operators and rough Hausdorff operators in the two weighted Herz-type Hardy spaces associated with both power weights and Muckenhoupt weights. By applying the fact that the standard infinite atomic decomposition norm on two weighted Herz-type Hardy spaces is equivalent to the finite atomic norm on some dense subspaces of them, we generalize some previous known results due to Chen et al. [7] and Ruan, Fan [35].
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页码：20 / 37
页数：17
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