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Notes on Fourier multipliers for $H\sp{p}$, BMO and the Lipschitz spaces
https://doi.org/10.15083/00039554
https://doi.org/10.15083/0003955462e6940b-7446-4f99-ab41-9cfcbd62fca3
名前 / ファイル | ライセンス | アクション |
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2007-05-15 | |||||
タイトル | ||||||
タイトル | Notes on Fourier multipliers for $H\sp{p}$, BMO and the Lipschitz spaces | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
ID登録 | ||||||
ID登録 | 10.15083/00039554 | |||||
ID登録タイプ | JaLC | |||||
著者 |
Miyachi, Akihiko
× Miyachi, Akihiko |
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著者所属 | ||||||
著者所属 | Department of Mathematics Faculty of Science University of Tokyo | |||||
著者所属 | ||||||
著者所属 | (Present address)Department of Mathematics Faculty of Social Science Hitotsubashi University | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | (i) General mapping properties of Fourier multipliers between the spaces $H^p$, BMO and $\mathop\Lambda \limits^\~_s$ (the Lipschitz space) are summarized; inhomo- geneous versions of these spaces ($h^p&, bmo and $\Lambda _s$) are also considered. (ii) Mapping properties of the multipliers $\left| \xi \right|^{ - b} \exp (i\left| \xi \right|^a )$ etc. are determined. (iii) A converse to the assertion for (i) is obtained, which asserts that we can construct a Fourier multiplier with """"arbitrarily"""" given mapping properties. (iv) It is shown that the $H^1$-boundedness of a convolution operator does not imply the weak $(1,1)$-boundedness, and vice versa. | |||||
書誌情報 |
Journal of the Faculty of Science, the University of Tokyo. Sect. 1 A, Mathematics = 東京大学理学部紀要. 第1類A, 数学 巻 30, 号 2, p. 221-242, 発行日 1983-12-10 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00408980 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00697967 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 410 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR0722495 (85j:42029) | ||||||
出版者 | ||||||
出版者 | Faculty of Science, The University of Tokyo |