超球上加权Bergman空间上的Hankel算子

Hankel operators on the weighted Bergman spaces in the unit ball of C￣n

本文利用单位球Ｂ＿ｎ上Ｂｌｏｃｈ函数的带权特征讨论了Ｂ＿ｎ上带权（１－｜ｚ｜￣２）α（α＞－１）的Ｂｅｒｇｍａｎ空间Ｌ￣（ｐ，α）（Ｂ＿ｎ）上的Ｈａｎｋｅｌ算子的有界性和紧性。

In this paper,the author investigates the characterization of Bloch functions in the unit ballof B_n and the Hankel operators on the weighted Bergman spaces.He makes a research on theboundedness and compactness of the Hankel operators induced by conjugate analytic functions,too.