Abstract
In this paper, we establish some necessary and sufficient conditions for the boundedness of generalized multilinear Hausdorff operators on weighted central Morrey, Herz, and Morrey–Herz spaces on the Heisenberg group. Moreover, we also give some sufficient conditions for the boundedness of generalized multilinear Hausdorff operators on such spaces with the Muckenhoupt weights. Our results generalize some previous known results.
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The author is grateful to the anonymous referees for their very careful reading and many valuable comments which made this article more readable.
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Van Duong, D. Generalized Multilinear Hausdorff Operators on the Heisenberg Group. Results Math 76, 76 (2021). https://doi.org/10.1007/s00025-021-01380-y
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DOI: https://doi.org/10.1007/s00025-021-01380-y
Keywords
- multilinear Hausdorff operator
- weighted Hardy operator
- Morrey-Herz space
- \(A_p\) weight
- Heisenberg group