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The aim of this paper is to get the product Lp-estimates, weighted estimatesand two-weighted estimates for rough multilinear fractional integral operatorsand rough multi-sublinear fractional maximal operators, respectively. Theauthor also studies two-weighted weak type estimate on product Lp (Rn) forrough multi-sublinear fractional maximal operators. In fact, this article isthe rough kernel versions of [4, 5]' s results.

On the behaviors of rough multilinear fractional integral and  multi-sublinear fractional maximal operators both on product L^{p} and  weighted L^{p} spaces