Sharp weighted inequalities for multilinear fractional maximal operators and fractional integrals |
| |
| Authors: | Kangwei Li Kabe Moen Wenchang Sun |
| |
| Affiliation: | 1. School of Mathematical Sciences and LPMC, Nankai University, Tianjin, P. 2. R. 3. China;4. Department of Mathematics, University of Alabama, Tuscaloosa, USA |
| |
| 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  . In addition we prove sharp two weight mixed estimates for multilinear operators in the spirit of the linear estimates given in 3 . |
| |
| Keywords: | Sharp weighted inequalities multiple weights multilinear fractional maximal operator multilinear fractional integrals 42B20 42B25 |
|
