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A note on Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces

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Abstract

In the present paper, we obtain three independent results on the Besov-Morrey spaces and the Triebel-Lizorkin-Morrey spaces. That is, we are going to obtain the characterization of local means, the boundedness of pseudo-differential operators and the characterization of the Hardy-Morrey spaces. By using the maximal estimate and the molecular decomposition, we shall integrate and extend the known results on these spaces.

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Authors and Affiliations

  1. Department of Mathematics, Gakushuin University, 1-5-1 Mejiro, Toshima-ku, Tokyo, 171-8588, Japan

    Yoshihiro Sawano

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  1. Yoshihiro Sawano
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Correspondence to Yoshihiro Sawano.

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Supported by Research Fellowships of the Japan Society for the Promotion of Science for Young Scientists (Grant No. 19-483)

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Sawano, Y. A note on Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces. Acta. Math. Sin.-English Ser. 25, 1223–1242 (2009). https://doi.org/10.1007/s10114-009-8247-8

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  • DOI: https://doi.org/10.1007/s10114-009-8247-8

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