Open Access Research Article

A Note on Generalized Fractional Integral Operators on Generalized Morrey Spaces

Yoshihiro Sawano1*, Satoko Sugano2 and Hitoshi Tanaka3

Author Affiliations

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

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Boundary Value Problems 2009, 2009:835865 doi:10.1155/2009/835865

Published: 17 January 2010

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.