Composition operator is induced by an analytic self-map on the unit disk.One of the central problems on composition operator is to know when it maps between two subspaces of analytic functions spaces and in order to relate function-theoretic properties of analytic self-function to operator-theoretic properties of composition operator.The questions are studied between different Banach spaces on boundedness and compactness of composition operator by the test functions.Necessary and sufficient conditions are given for a composition operator to be bounded and compact from QK space to Bloch-type space in this paper.%复合算子是由单位圆盘上的解析自映射定义的,它的中心问题之一是研究作用于解析函数空间的两个不同Banach子空间上的复合算子的性质与解析自映射的性质间的联系.通过构造检验函数,研究了不同函数空间之间的复合算子的有界性与紧性的问题,给出了从Qk空间到Bloch型空间及其闭子空间上的复合算子的有界性与紧性的充要条件.
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