Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials

  • Mizuta Yoshihiro
    Department of Mathematics, Graduate School of Science, Hiroshima University
  • Nakai Eiichi
    Department of Mathematics, Osaka Kyoiku University
  • Ohno Takao
    General Arts, Hiroshima National College of Maritime Technology
  • Shimomura Tetsu
    Department of Mathematics, Graduate School of Education, Hiroshima University

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Our aim in this paper is to deal with boundedness of fractional integral operators on Morrey spaces L(1,φ)(G) and the Sobolev embeddings for generalized Riesz potentials. Target spaces are Orlicz-Morrey, Orlicz-Campanato, and generalized Hölder spaces.

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