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Dirichlet Integrals and H__4 Norms of Analytic Funcions
http://hdl.handle.net/10649/146
http://hdl.handle.net/10649/14607a25f2a-f09f-4190-8a70-ae9862f01f62
名前 / ファイル | ライセンス | アクション |
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K11_11.pdf (310.3 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2011-02-14 | |||||
タイトル | ||||||
タイトル | Dirichlet Integrals and H__4 Norms of Analytic Funcions | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Dirichlet integral | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | H\_p_ norm | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | least harmonic majorant | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | inner function | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
著者 |
小林, 昇治
× 小林, 昇治 |
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著者別名 | ||||||
識別子Scheme | WEKO | |||||
識別子 | 1857 | |||||
姓名 | コバヤシ, ショウジ | |||||
著者別名 | ||||||
識別子Scheme | WEKO | |||||
識別子 | 1858 | |||||
姓名 | Kobayashi, Shoji | |||||
著者所属 | ||||||
値 | 長岡技術科学大学理学センター | |||||
著者所属 | ||||||
値 | Dept. of Sciences and Mathematics, Nagaoka University of Technology | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | For every analystic function f in the unit disc U with f(0) = 0, the inequality ||f||\_4_\lessthan equal\(1/\Pi\integral\integral\_U_|f’(z)|^2^dxdy)\^1/2^ is proved. As as corollary it is shown that if h\_4_(z) denotes the least harmonic majorant of |z|\^4^ in a simply-connected domain D in the complex plane with 0 \belongs to\D, then the inequality h\_4_(0)\lessthan equal \(1/\Pi\area(D)) \^1/2^holds. This gives a partially affirmative answer to a conjecture presented by M. Sakai. | |||||
書誌情報 |
長岡技術科学大学研究報告 巻 11, p. 83-86, 発行日 1989-10 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0388-5631 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00177120 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
出版者 | 長岡技術科学大学 |