一类管状区域上的Bergman度量

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基金项目:国家自然科学基金资助项目（11971045，12071035）

详细信息

Bergman metric on a class of tubular domains

School of Mathematical Sciences, Key Laboratory of Mathematics and Complex Systems of Ministry of Education, Beijing Normal University

摘要

摘要:给出了两类积分算子在管状区域 $\varOmega$ 上加权 Bergman 空间有界条件；计算了管状区域 $\varOmega$ 上的 Bergman 度量；得到了 $\varOmega$ 的一组 Bergman 度量球覆盖；证明了 $\varOmega$ 上测度 $\mu$ 是 Carleson 测度的一些等价条件．
- 管状区域/
- 加权 Bergman 空间/
- Bergman 度量/
- Carleson 测度
Abstract:In this paper, we gives the bounded condition of two types of integral operators; The Bergman metric on the tubular area $\varOmega$ is calculated; A set of metric spheres covered by $\varOmega$ is obtained; It is proved that the measure $\mu$ on the tubular domain is some equivalent condition of the Carleson measure．
- tube domains/
- the weighted Bergman space/
- Bergman metric/
- Carleson measure

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