摘要
研究了在单位圆盘上Besov空间到Zygmund空间的Volterra算子和复合算子的乘积算子的有界性和紧性特征.利用泛函分析和复合分析的方法,得到了Besov空间到Zygmund空间该算子是有界算子或紧算子的充要条件.
In this paper,we study the boundedness and compactness of the products of Volterra operator and composition operator from Besov spaces to Zygmund spaces on the unit disk. By using the method of functional analysis and complex analysis, some necessary and sufficient conditions are given such that the products of Volterra operator and composition operator are bounded or compact.
出处
《湖州师范学院学报》
2011年第1期42-47,共6页
Journal of Huzhou University
基金
国家自然科学基金项目(10971063)
浙江省自然科学基金项目(Y6100219)
浙江省新苗人才计划项目(2009R425018)