On the Boundedness of Multilinear Fractional Strong Maximal Operator with multiple weights

2015/12/29 by Cao, Mingming, Xue, Qingying, Yabuta, Kozo
#42B25 #47G10 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1512.08681

Abstract

In this paper, we investigated the boundedness of multilinear fractional strong maximal operator M_R,α associated with rectangles or related to more general basis with multiple weights A_(p,q),R. In the rectangles setting, we first gave an end-point estimate of M_R,α, which not only extended the famous linear result of Jessen, Marcinkiewicz and Zygmund, but also extended the multilinear result of Grafakos, Liu, Pérez and Torres (α=0) to the case 0

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