Boundary Value Problems
Volume 2009 (2009), Article ID 835865, 18 pages
doi:10.1155/2009/835865
A note on generalized fractional integral operators on generalized Morrey spaces
Yoshihiro Sawano1
, Satoko Sugano2
and Hitoshi Tanaka3
1Department of Mathematics, Kyoto University, Kitasir-akawa, Sakyoku, Kyoto 606-8502, Japan
2Kobe City College of Technology, 8-3 Gakuen-higashimachi, Nishi-ku, Kobe 651-2194, Japan
3Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan
Abstract
We show some inequalities for generalized fractional integral operators on generalized Morrey spaces. We also show the boundedness property of the generalized fractional integral operators on the predual of the generalized Morrey spaces.