Some estimates of multilinear operators on tent spaces

Let 0 < alpha < mn and 0 < r, q < infinity . In this paper, we obtain the boundedness of some multilinear operators by establishing pointwise inequalities and applying extrapolation methods on tent spaces T-r(q) (R-+(n+1)), where these multilinear operators include multilinear Hardy-Littlewood maximal operator M , multilinear fractional maximal operator M-alpha, multilinear Calderon-Zygmund operator T, and multilinear fractional integral operator I-alpha. Therefore, the results of Auscher and Prisuelos-Arribas [Math. Z. 286 (2017), 1575-1604] are extended to the general case.