Journal
MATHEMATICAL NOTES
Volume 106, Issue 1-2, Pages 20-37Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S0001434619070034
Keywords
Hausdorff operator; Herz space; Herz-type Hardy space; A(p) weight; atom
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Funding
- Vietnam National Foundation for Science and Technology Development (NAFOSTED) [101.02-2014.51]
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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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