ERIDANI and HENDRA GUNAWAN and EIICHI NAKAI and YOSHIHIRO SAWANO (2014) Characterizations For The Generalized Fractional Integral Operators On Morrey Spaces. Mathematical Inequalities and Applications, 17 (2). pp. 761-777. ISSN 13314343

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Abstract

We present some characterizations for the boundedness of the generalized fractional integral operators on Morrey spaces. The characterizations follow from two key estimates, one for the norm of some functions in Morrey spaces, and another for the values of the corresponding fractional integrals. We prove three theorems about necessary and sufficient conditions. We show that these theorems are independent by giving some examples. We also obtain counterparts for the weak generalized Morrey spaces.

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