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On a theorem of MacCluer and Shapiro
http://hdl.handle.net/10091/299
http://hdl.handle.net/10091/299836dacb3-70fd-438e-b8da-42f195471b1c
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 | 2007-10-15 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | On a theorem of MacCluer and Shapiro | |||||
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 | |||||
著者 |
Matsugu, Y
× Matsugu, Y× Nagai, S× Ueki, S |
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出版者 | ||||||
出版者 | 信州大学理学部 | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | Journal of the Faculty of Science Shinshu University 40:1-26(2006) | |||||
書誌情報 |
Journal of the Faculty of Science Shinshu University 巻 40, p. 1-26, 発行日 2006-03-24 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let μ be a holomorphic function in the unit ball B of C^n and φ be a univalent holomorphic self-map of B. We give some sufficient conditions for μ and φ that the weighted composition operator μC_φ is bounded or compact on the Hardy spaces H^p(B) and the weighted Bergman spaces A^p(v_a) (0<p<∞,-1<α<∞). This our result is a generalization of a theorem of B. D. MacCluer and J. H. Shapiro [9] concerning the composition operator C_φ. And we also give similar sufficient conditions for such operator to be metrically bounded or metrically compact on the Privalov spaces N^p(B) (1<p<∞) and the weighted Bergman-Privalov spaces (AN)^p (v_a) (1≤p<∞, -1<α<∞). | |||||
資源タイプ(コンテンツの種類) | ||||||
内容記述タイプ | Other | |||||
内容記述 | Article | |||||
ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 0583-063X | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00697923 | |||||
出版タイプ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |