摘要
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 <SUB>α</SUB><SUP>2</SUP> ,在 f 和 g 在单位上是分析的的地方,成球形。Hankel 产品 H <SUB > f </SUB > H <SUB > 在联合起来的球的加权的 Bergman 空间的 g </SUB><SUP>*</SUP> 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.
基金
supported by the National Natural Science Foundation of China (No.10671028).