ID | 56329 |
フルテキストURL | |
著者 |
Hakim, Denny Ivanal
Department of Mathematics and Information Sciences, Tokyo Metropolitan University
Nogayama, Toru
Department of Mathematics and Information Sciences, Tokyo Metropolitan University
Sawano, Yoshihiro
Department of Mathematics and Information Sciences, Tokyo Metropolitan University
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抄録 | This paper extends the result in [8] to Triebel-Lizorkin-Morrey spaces which contains 4 parameters p, q, r, s. This paper reinforces our earlier paper [8] by Nakamura, the first and the third authors in two different directions. First, we include the smoothness parameter s and the second smoothness parameter r. In [8] we assumed s = 0 and r = 2. Here we relax the conditions on s and r to s ∈ R and 1 < r ≤ ∞. Second, we apply a formula obtained by Bergh in 1978 to prove our main theorem without using the underlying sequence spaces.
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キーワード | smoothness Morrey spaces
Triebel-Lizorkin-Morrey spaces
complex interpolation
square function
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備考 | Mathematics Subject Classification. Primary 42B35; Secondary 41A17, 26B33.
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発行日 | 2019-01
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出版物タイトル |
Mathematical Journal of Okayama University
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巻 | 61巻
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号 | 1号
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出版者 | Department of Mathematics, Faculty of Science, Okayama University
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開始ページ | 99
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終了ページ | 128
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ISSN | 0030-1566
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NCID | AA00723502
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資料タイプ |
学術雑誌論文
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言語 |
英語
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著作権者 | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University
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論文のバージョン | publisher
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査読 |
有り
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Submission Path | mjou/vol59/iss1/6
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