Toeplitz and Hankel Products on Bergman Spaces of the Unit Ball

作者在加权的 Bergman 空间为 Toeplitz 产品的围住的海角给一些新必要条件联合起来的球的 α2 ，在 f 和 g 在单位上是分析的的地方，成球形。Hankel 产品 H f H 在联合起来的球的加权的 Bergman 空间的 g * 被学习，并且类似于那些 Stroethoff 和郑的结果在统一磁盘的设置获得了被证明。

The authors give some new necessary conditions for the boundedness of Toeplitz products Tf^aTg^a on the weighted Bergman space Aa^2 of the unit ball, where f and g are analytic on the unit ball. Hankel products HfH9^＋ on the weighted Bergman space of the unit ball are studied, and the results analogous to those Stroethoff and Zheng obtained in the setting of unit disk are proved.