| 王雄亮.拟凸域上沿某些方向的边界 Schwarz 引理*[J].数学年刊A辑,2022,43(2):113~118 |
| 拟凸域上沿某些方向的边界 Schwarz 引理* |
| Boundary Schwarz Lemma of Pseudoconvex Domains along Some Directions |
| Received:August 03, 2021 Revised:January 23, 2022 |
| DOI：10.16205/j.cnki.cama.2022.0008 |
| 中文关键词: 全纯映照，边界Schwarz引理，拟凸域，强拟凸域 |
| 英文关键词:Holomorphic mapping, Boundary Schwarz lemma, Pseudoconvex domains, Strongly pseudoconvex domains |
| 基金项目:国家自然科学基金 (No.10000000) |
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| 中文摘要: |
| 本文直接利用全纯映照的性质研究边界Schwarz引理,建立了拟凸域上沿某些满足正定条件的方向的边界Schwarz引理. 文章推广了强拟凸域情形的主要结果,但是证明的方法是不一样的. |
| 英文摘要: |
| In this paper, the author studies the boundary Schwarz lemma directly by using the properties of holomorphic mappings. A boundary Schwarz lemma along some directions satisfying positive definite conditions on pseudoconvex domains is established.This generalizes the main results in the case of strongly pseudoconvex domains, but the methods of proof are different. |
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