Sharp weighted inequalities for multilinear fractional maximal operators and fractional integrals

Publisher: John Wiley & Sons Inc

E-ISSN: 1522-2616|288|5-6|619-632

ISSN: 0025-584x

Source: MATHEMATISCHE NACHRICHTEN, Vol.288, Iss.5-6, 2015-04, pp. : 619-632

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Abstract

In this paper, we study weighted inequalities for multilinear fractional maximal operators and fractional integrals. We prove sharp weighted Lebesgue space estimates for both operators when the vector of weights belongs to AP⃗,q. In addition we prove sharp two weight mixed estimates for multilinear operators in the spirit of the linear estimates given in [].