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The Growth of the Nevanlinna Proximity Function
http://hdl.handle.net/2261/43526
http://hdl.handle.net/2261/435260a2cdb12-c8da-4ffb-9f78-b808cc6fd28b
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms160403.pdf (176.2 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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| 公開日 | 2011-04-06 | |||||
| タイトル | ||||||
| タイトル | The Growth of the Nevanlinna Proximity Function | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 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 |
Nitanda, Atsushi
× Nitanda, Atsushi |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | Let f be a meromorphic mapping from Cn into a compact complex manifold M. In this paper we give some estimates of the growth of the proximity function mf (r,D) of f with respect to a divisor D. J.E. Littlewood [2] (cf. Hayman [1]) proved that every non-constant meromorphic function g on the complex plane C satisfies lim supr→∞ mg(r,a) log T(r,g) ≤ 1 2 for almost all point a of the Riemann sphere. We extend this result to the case of a meromorphic mapping f : Cn → M and a linear system P(E) on M. The main result is an estimate of the following type: For almost all divisor D ∈ P(E), lim supr→∞ mf (r,D)−mf (r,IB(E)) log TfE(r,HE) ≤ 1 2 .. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 16, 号 4, p. 525-543, 発行日 2010-03-25 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| 値 | MR | |||||
| Mathmatical Subject Classification | ||||||
| 値 | 32A22(MSC2000) | |||||
| Mathmatical Subject Classification | ||||||
| 値 | 32H30(MSC2000) | |||||
| Mathmatical Subject Classification | ||||||
| 値 | 30D35(MSC2000) | |||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 値 | 2009-07-15 | |||||
