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Integral operators on B σ -Morrey-Campanato spaces

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Abstract

We show the boundedness of the Hardy-Littlewood maximal operator, singular and fractional integral operators, and more general sublinear operators on B σ -Morrey-Campanato spaces. These function spaces have been introduced recently to unify central Morrey spaces, λ-central mean oscillation spaces and usual Morrey-Campanato spaces. Using the B σ -Morrey-Campanato spaces, we can study both local and global regularities of functions simultaneously, and unify a series of results on the boundedness of operators on several classical function spaces.

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Authors and Affiliations

  1. School of High Technology for Human Welfare, Tokai University, 317 Nishino, Numazu, Shizuoka, 410-0395, Japan

    Yasuo Komori-Furuya

  2. College of Economics, Nihon University, 1-3-2 Misaki-cho, Chiyoda-ku, Tokyo, 101-8360, Japan

    Katsuo Matsuoka

  3. Department of Mathematics, Ibaraki University, Mito, Ibaraki, 310-8512, Japan

    Eiichi Nakai

  4. Department of Mathematics, Kyoto University, Kyoto, 606-8502, Japan

    Yoshihiro Sawano

Authors
  1. Yasuo Komori-Furuya
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  2. Katsuo Matsuoka
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  3. Eiichi Nakai
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  4. Yoshihiro Sawano
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Correspondence to Eiichi Nakai.

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Komori-Furuya, Y., Matsuoka, K., Nakai, E. et al. Integral operators on B σ -Morrey-Campanato spaces. Rev Mat Complut 26, 1–32 (2013). https://doi.org/10.1007/s13163-011-0091-6

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  • DOI: https://doi.org/10.1007/s13163-011-0091-6

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