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| 摘要: |
| 本文研究边界唯一性问题.利用构造函数与最大模原理的方法，得到了一些不等维的边界唯一性结果，将Burns-Krantz等人的等维边界唯一性结果推广到了不等维情形. |
| 关键词: Schwarz引理 边界唯一性定理 Fock-Bargmann-Hartogs域 |
| DOI： |
| 分类号:O174.56 |
| 基金项目: |
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| NONEQUIDIMENSIONAL BOUNDARY UNIQUENESS THEOREMS ON SEVERAL TYPES OF DOMAINS |
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LIU Hong-yan
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| Abstract: |
| In this paper, we study the problem of boundary uniqueness theorem. With the methods of constructing function and using maximum modules principle, we obtain several results of nonequidimensional boundary uniqueness theorems, which generalize the theorem of Burns-Krantz and some similar boundary uniqueness results by other men of mathematics. |
| Key words: Schwarz lemma boundary uniqueness theorem Fock-Bargmann-Hartogs domain |
