Weighted Morrey estimates for Hausdorff operator and its commutator on the Heisenberg group

Abstract

In this paper, we study the high-dimensional Hausdorff operators, defined via a general linear mapping $A$, and their commutators on the weighted Morrey spaces in the setting of the Heisenberg group. Particularly, under some assumption on the mapping $A$, we establish their sharp boundedness on the power weighted Morrey spaces.

Cited by in corpus (4)

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• A Hausdorff Operator on Lebesgue Space With Commuting Perturbation Matrices Is a Non-Riesz Operator
• Weighted Lebesgue and central Morrey estimates for p-adic multilinear Hausdorff operators and its commutators
• Weighted norm inequalities for rough Hausdorff operator and its commutators on the Heisenberg group