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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