【摘要】 本文研究了从上半平面的Hardy空间到Zygmund空间上的Volterra型算子和复合算子乘积的有界性问题.利用泛函分析和复分析的方法,获得了从上半平面的Hardy空间到Zygmund空间生成的Volterra型算子和复合算子的乘积有界性刻画,推广了S.Stevic关于从上半平面的Hardy空间到Zygmund空间上的复合算子有界性的结果.更多还原

【Abstract】 We discuss boundedness of products of Volterra type operators and composition operators from the Hardy space to the Zygmund space on the upper half-plane.By using the method of functional analysis and complex analysis,some sufficient and necessary conditions for the product of a Volterra type operator and a composition operator to be bounded are obtained. To popularize the results of S.Stevic about boundedness of composition operators from the Hardy space to the Zygmund space on the upper half-plane.更多还原