摘要:目的 研究单位球上的H∞(BN)和加权Bergman空间之间的加权复合算子的有界性与紧性.方法 采用泛函分析和复分析进行研究.结果 得到了加权复合算子是有界算子或紧算子的充要条件,同时表示出了加权复合算子的范数.结论 我们在单位球上来研究这些结果,推广和统一了已有文献的相关结果.%ions, which the weighted composition operator is a bounded or compact operator, are obtained and meanwhile the norm is make. Conclusion We study the results on the unit ball, the main results in related literatures are generalized and unified.