, 2012:179,
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Date: 23 Aug 2012

Weighted Trudinger inequality associated with rough multilinear fractional type operators

Abstract

Let be the multilinear fractional type operator defined by . In this paper, we study the weighted estimates for the Trudinger inequality associated to with rough homogeneous kernels, which improve some known results significantly. A similar Trudinger inequality holds for another type of fractional integral defined by , where .