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Complex Interpolation and the Adams Theorem

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Abstract

Recently, many researchers investigated the description of the complex interpolation of Morrey spaces. Among others, the second complex interpolation of Morrey spaces turned out to be the Calderón product of Morrey spaces. In this paper as an application of this fact, we propose an improvement of the Adams theorem asserting that the fractional integral operator maps Morrey spaces to other Morrey spaces.

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Authors and Affiliations

  1. Department of Mathematical Science, Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachioji, Tokyo, 192-0397, Japan

    Yoshihiro Sawano

  2. Kobe City College of Technology, 8-3 Gakuen-higashimachi, Nishi-ku, Kobe, 651-2194, Japan

    Satoko Sugano

Authors
  1. Yoshihiro Sawano
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  2. Satoko Sugano
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Correspondence to Yoshihiro Sawano.

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Sawano, Y., Sugano, S. Complex Interpolation and the Adams Theorem. Potential Anal 54, 299–305 (2021). https://doi.org/10.1007/s11118-020-09827-7

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  • DOI: https://doi.org/10.1007/s11118-020-09827-7

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