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

Abstract

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

arXiv comment15 pages