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A Note on Besov-Morrey Spaces and Triebel-Lizorkin-Morrey Spaces 被引量：5

A Note on Besov-Morrey Spaces and Triebel-Lizorkin-Morrey Spaces
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摘要 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. 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.
作者 Yoshihiro SAWANO
机构地区 Department of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2009年第8期1223-1242,共20页 数学学报（英文版）
基金 Supported by Research Fellowships of the Japan Society for the Promotion of Science for Young Scientists (Grant No. 19-483)
关键词 function spaces pseudo-differential operators Hardy spaces function spaces, pseudo-differential operators, Hardy spaces
分类号 O177 [理学—基础数学]
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参考文献26

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Acta Mathematica Sinica,English Series
2009年 第8期

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