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

Yoshihiro Mizuta; Eiichi Nakai; Takao Ohno; Tetsu Shimomura

doi:10.2969/jmsj/06230707

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

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

Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno, Tetsu Shimomura

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Keywords: Sobolev embeddings, Morrey space, Orlicz space, Riesz potential, fractional integral

JOURNAL FREE ACCESS

2010 Volume 62 Issue 3 Pages 707-744

DOI https://doi.org/10.2969/jmsj/06230707

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Abstract

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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