A note on Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces |
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Authors: | Yoshihiro Sawano |
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Institution: | (1) Department of Mathematics, Gakushuin University, 1-5-1 Mejiro, Toshima-ku, Tokyo 171-8588, Japan |
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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.
Supported by Research Fellowships of the Japan Society for the Promotion of Science for Young Scientists (Grant No. 19-483) |
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Keywords: | function spaces pseudo-differential operators Hardy spaces |
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