Sharp Weighted Bounds for Multilinear fractional Maximal type Operators with Rough Kernels

2013/05/08 by Ting Mei, Qingying Xue, Mei, Ting +3
Mathematics · #42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42B20

paper · pdf · doi:10.48550/arxiv.1305.1865

18 pages

arxiv created 2013/05/08 · arxiv updated 2013/05/09

Abstract

In this paper, we will give the weighted bounds for multilinear fractional maximal type operators M_Ω,α with rough homogeneous kernels. We obtain a mixed A_(P,q)-A_∞ bound and a A_P type estimate for M_Ω,α. As an application, we give an almost sharp estimate for the multilinear fractional integral operator with rough kernels I_Ω,α.

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