In this paper we prove that the commutators generated by the fractional p-adic Hardy operators and the central BMO function are bounded on weighted homogeneous Herz spaces. MSC: 11E95; 11K70; 42B99
We obtain the sharp bounds ofp-adic Hardy operators onp-adic central Morrey spaces andp-adicλ-central BMO spaces, respectively. We also establish theλ-central BMO estimates for commutators ofp-adic Hardy operators onp-adic central Morrey spaces.
We establish the Hardy-Littlewood-Sobolev inequalities onp-adic central Morrey spaces. Furthermore, we obtain theλ-central BMO estimates for commutators ofp-adic Riesz potential onp-adic central Morrey spaces.
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.
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