Two-weighted inequalities for Hausdorff operators in Herz-type Hardy spaces
Classical Analysis and ODEs
2018-08-14 v1
Abstract
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 [34].
Keywords
Cite
@article{arxiv.1808.03787,
title = {Two-weighted inequalities for Hausdorff operators in Herz-type Hardy spaces},
author = {Nguyen Minh Chuong and Dao Van Duong and Kieu Huu Dung},
journal= {arXiv preprint arXiv:1808.03787},
year = {2018}
}