Boundary Value Problems
Volume 2009 (2009), Article ID 835865, 18 pages
doi:10.1155/2009/835865
Research Article

A Note on Generalized Fractional Integral Operators on Generalized Morrey Spaces

Yoshihiro Sawano,1 Satoko Sugano,2 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

Received 21 July 2009; Revised 31 August 2009; Accepted 13 December 2009

Academic Editor: Peter Bates

Copyright © 2009 Yoshihiro Sawano et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.