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Some estimates for rough Hausdorff operators on the Heisenberg group
Some estimates for rough Hausdorff operators on the Heisenberg group
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Date
2022
Authors
Kieu Huu Dung, Dao Van Duong
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Research Projects
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Abstract
The purposes of this article is to establish some necessary and sufficient conditions for the boundedness of the rough Hausdorff operators on weighted Herz, central Morrey and Morrey–Herz spaces on the Heisenberg group. By applying the block decomposition method, the authors also obtain the boundedness of the rough Hausdorff operators on weighted Herz spaces for the case p 2 ð0; 1Þ.
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Keywords
Rough Hausdorff operator,
Hardy operator,
central Morrey space,
Morrey–Herz space,
Ap weight,
Heisenberg group