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中文摘要：
在在在开的单位磁盘和衍生物的 Dirichlet 空格的作文操作符之间的关系在在开的单位磁盘的 Bergman 空格的加权的作文操作符第一被调查，并且为几衍生物的联合对经典 Bergman 空间起作用的加权的作文操作符，它的必要标准的更低的界限以d作文操作符的符号的边界数据被估计。关于在 Dirichlet 空间的作文操作员的一些类似的结果也被介绍。一个必要条件被给决定几衍生物的联合的紧密在 Bergman 空格的加权的作文操作员。
英文摘要：
The relation between composition operators on the Dirichlet spaces in the open unit disk and derivative weighted composition operators on the Bergman spaces in the open unit disk is investigated firstly, and for a combination of several derivative weighted composition operators which acts on classic Bergman space, the lower bound of its essential norm is estimated in terms of the boundary data of the symbols of d-composition operators. Some similar results about composition operators on the Dirichlet space are also presented. A necessary condition is given to determine the compactness of the combination of several derivative weighted composition operators on Bergman spaces.
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