利用分析和构造检验函数的方法,研究了从Zygmund型空间到Bloch-Orlicz空间上的Volterra型算子的有界性和紧性,并得到了Volterra型算子是从Zygmund型空间到Bloch-Orlicz空间上的有界算子、紧算子的充要条件。
By using analysis methods and constructing test functions,the boundedness and compactness of the Volterra-type operators from the Zygmund-type spaces to the Bloch-Orlicz spaces are investigated. Then the sufficient and necessary conditons of boundedness and compactness of the Volterra-type operators are obtained.