A Note on Generalized Fractional Integral Operators on Generalized Morrey Spaces
1 Department of Mathematics, Kyoto University, Kitasir-akawa, Sakyoku, Kyoto 606-8502, Japan
2 Kobe City College of Technology, 8-3 Gakuen-higashimachi, Nishi-ku, Kobe 651-2194, Japan
3 Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan
Boundary Value Problems 2009, 2009:835865 doi:10.1155/2009/835865Published: 17 January 2010
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.