| ID | 56329 |
| FullText URL | |
| Author |
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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| Abstract | 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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| Keywords | smoothness Morrey spaces
Triebel-Lizorkin-Morrey spaces
complex interpolation
square function
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| Note | Mathematics Subject Classification. Primary 42B35; Secondary 41A17, 26B33.
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| Published Date | 2019-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume61
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| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
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| Start Page | 99
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| End Page | 128
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| ISSN | 0030-1566
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| NCID | AA00723502
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| Content Type |
Journal Article
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| language |
English
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| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University
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| File Version | publisher
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| Refereed |
True
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| Submission Path | mjou/vol59/iss1/6
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