三圆盘中的可拓性质
Extension property in the tridisc
摘要：
出于工作的扩展集在标准域中，我们引入的Carathéodory集的概念，似乎更适合用于证明的结果表征的扩展集的方法。特别强调的一类二维子流形在tridisc不仅原来是Carathéodory，但也提供了例子的二维域，著名的Lempert定理举行。此外，最近引入的概念的全称集的Carathéodory极值问题进行了研究和新的结果域承认（不）有限的全称集。
英文摘要：
Motivated by works on extension sets in standard domains we introduce a notion of the Carathéodory set that seems better suited for the methods used in proofs of results on characterization of extension sets. A special stress is put on a class of two dimensional submanifolds in the tridisc which not only turns out to be Carathéodory but also provides examples of two dimensional domains for which the celebrated Lempert Theorem holds. Additionally, a recently introduced notion of universal sets for the Carathéodory extremal problem is studied and new results on domains admitting (no) finite universal sets are given.
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