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BOUNDEDNESS OF VECTOR-VALUED OPERATORS ON WEIGHTED HERZ SPACES
Authors:Tang Lin and Yang Dachun
Institution:(1) Department of Mathematics, Beijing Normal University, 100875 Beijing, PRC
Abstract:In this paper, the authors establish the weighted weak and strong type norm inequalities in the set of weighted Herz-type spaces for a vector-valued analogue of the Hardy-Littlewood maximal operator; and using this, the authors obtain the weightd inequalies for a wide class of sublinear singular operators defined onR n which include the Calderón-Zygmund operators as special cases. The fractional versions of these results are also given. Yang Dachun was partially supported by the NNSF and the SEDF of China and the Grant-in-Aid for Scientific research(11304009), Japan Society for the Promotion of Science.
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