摘要
本文利用混合模空间H(p,q,φ)中函数的高阶导数的估计,通过构造一些新的检验函数,运用解析函数的性质与算子理论,给出了从混合模空间H(p,q,φ)到Zygmund空间的Volterra型复合算子的有界性和紧性的特征,获得了若干个充要条件.
In this paper,using the estimate of the higher order derivative of the function in mixed norm spaces,the properties of the analytic function and operator theory,the authors characterize the boundedness and compactness of the Volterra-type composition operator from mixed norm spaces H（p,q,φ）to Zygmund spaces by means of constructing some test functions,and some necessary and sufficient conditions of the Volterra-type composition operators to be bounded and compact are obtained.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2011年第3期381-396,共16页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(10471039)
江苏省普通高校自然科学研究计划资助项目(06KJD110175
07KJB110115)
