International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 8, Pages 517-524
doi:10.1155/S0161171201003982

Two-weight norm inequalities for the rough fractional integrals

Yong Ding1 and Chin-Cheng Lin2

1Department of Mathematics, Beijing Normal University, Beijing 100875, China
2Department of Mathematics, National Central University, Chung-Li 320, Taiwan

Abstract

The authors give the weighted (Lp,Lq)-boundedness of the rough fractional integral operator TΩ,α and the fractional maximal operator MΩ,α with two different weight functions.