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arXiv · 1808.03787

Two-weighted inequalities for Hausdorff operators in Herz-type Hardy spaces

Nguyen Minh Chuong·Dao Van Duong·Kieu Huu Dung
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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].

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Nguyen Minh Chuong, Dao Van Duong, Kieu Huu Dung. 2018-08-11. Two-weighted inequalities for Hausdorff operators in Herz-type Hardy spaces. https://arxiv.org/abs/1808.03787

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