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Singularities of the Bergman Kernel for Certain Weakly Pseudoconvex Domains
http://hdl.handle.net/2261/1351
http://hdl.handle.net/2261/13515cd54cb9-5fad-42a3-b155-51da2c9036c1
名前 / ファイル | ライセンス | アクション |
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jms050105.pdf (180.5 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-03-04 | |||||
タイトル | ||||||
タイトル | Singularities of the Bergman Kernel for Certain Weakly Pseudoconvex Domains | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Bergman kernel | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Szego kernel | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Kamimoto, Joe
× Kamimoto, Joe |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Consider the Bergman kernel $K^B(z)$ of the domain $\ellip = \{z \in \Comp^n ; \sum_{j=1}^n |z_j|^{2m_j}<1 \}$, where $m=(m_1,\ldots,m_n) \in \Natl^n$ and $m_n \ eq 1$. Let $z^0 \in \partial \ellip$ be any weakly pseudoconvex point, $k \in \Natl$ the degenerate rank of the Levi form at $z^0$. An explicit formula for $K^B(z)$ modulo analytic functions is given in terms of the polar coordinates $(t_1, \ldots, t_k, r)$ around $z^0$. This formula provides detailed information about the singularities of $K^B(z)$, which improves the result of A. Bonami and N. Lohoue \cite{bol}. A similar result is established also for the Szego kernel $K^S(z)$ of $\ellip$. |
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書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 5, 号 1, p. 99--117, 発行日 1998 |
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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 | |||||
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 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR1617073 | ||||||
Mathmatical Subject Classification | ||||||
32A40(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
32F15(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
32H10(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
1996-12-10 |