On the Boundedness of a Generalized Fractional Integral on Generalized Morrey Spaces

Eridani Eridani

Abstract


In this paper we extend Nakai's result on the boundedness of a general- ized fractional integral operator from a generalized Morrey space to another generalized Morrey or Campanato space.

Keywords


Generalized fractional integrals; generalized Morrey spaces; generalized Campanato spaces

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References


K. Kurata, S. Nishigaki, and S. Sugano, Boundedness of integral operators on generalized Morrey spaces and its application to SchrÄ odinger operators, Proc. Amer. Math. Soc. 128 (1999), 1125-1134.

E. Nakai, Hardy-Littlewood maximal operator, singular integral operators, and the Riesz potentials on generalized Morrey spaces, Math. Nachr. 166 (1994), 95-103.

E. Nakai, On generalized fractional integrals, Proceedings of the International Conference on Mathematical Analysis and its Applications 2000 (Kaohsiung, Taiwan), Taiwanese J. Math. 5 (2001), 587-602.

E. Nakai, On generalized fractional integrals on the weak Orlicz spaces, BM O , the Morrey spaces and the Campanato spaces, Proceedings of the Conference on Function Spaces, Interpolation Theory and related topics in honour of Jaak Peetre on his 65th birthday, Lund University Sweden, to ap- pear.




DOI: http://dx.doi.org/10.12962/j1829605X.v3i1.1392

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