一类管状区域上的Bergman度量

Bergman metric on a class of tubular domains

摘要: 给出了2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．

Abstract: In this paper, we give bounded condition of two types of integral operators．The Bergman metric on tubular area \varOmega is calculated．A set of metric spheres covered by \varOmega is obtained．It is proved that measure \mu on tubular domain is some equivalent condition of the Carleson measure．