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On Relations Between Bessel Potential Spaces and Riesz Potential Spaces

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Abstract

We present a relation between the Bessel potential spaces and the Riesz potential spaces. The ideas of the proof are to characterize each potential spaces and to give a correspondence between individual Bessel potentials and Riesz potentials.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Faculty of Science, Kagoshima University, Kagoshima, 890-0065, Japan

    Takahide Kurokawa

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  1. Takahide Kurokawa
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Kurokawa, T. On Relations Between Bessel Potential Spaces and Riesz Potential Spaces. Potential Analysis 12, 299–323 (2000). https://doi.org/10.1023/A:1008666510233

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  • DOI: https://doi.org/10.1023/A:1008666510233

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