頁籤選單縮合
題 名 | Distortion Theorems of Starlike Mappings in Several Complex Variables |
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作 者 | 劉太順; 王建飛; 盧金; | 書刊名 | Taiwanese Journal of Mathematics |
卷 期 | 15:6 2011.12[民100.12] |
頁 次 | 頁2601-2608 |
分類號 | 314.5 |
關鍵詞 | Starlike mappings; Distortion theorem; Banach space; Growth theorem; |
語 文 | 英文(English) |
英文摘要 | In this paper, we first obtain a distortion theorem of Jacobian matrix Jf(z) for biholomorphic starlike mapping f along a unit direction on the unit polydisc. This result extends the classical distortion theorem of starlike functions to higher dimensions. We then give an upper bound estimate of distortion theorem for biholomorphic starlike mappings along a unit direction in a complex Banach space. Finally, we propose two conjectures on starlike mappings in several complex variables. |
本系統中英文摘要資訊取自各篇刊載內容。