International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 12, Pages 1835-1842
doi:10.1155/IJMMS.2005.1835

A two-weight estimate for a class of fractional integral operators with rough kernel

Yong Ding

Department of Mathematics, Beijing Normal University, Beijing 100875, China

Abstract

We prove that the operators in a class of rough fractional integral operators and the related maximal operators are bounded from Lp(vp) to Lq(uq) with weight pair (u,v).