多圆柱上μ-Bloch空间之间的加权复合算子的有界性  

Bouned of the Weighteded Composition Operators between μ-Blochspaces β_μ on the polycylinder

作　　者：赵艳辉[1] 

机构地区：[1]湖南科技学院数学与计算科学系,永州425100

出　　处：《湖南科技学院学报》2010年第4期1-5,共5页Journal of Hunan University of Science and Engineering

摘　　要：文章讨论了多圆柱上μ-Bloch空间βμ之间的加权复合算子Tψ,φ的有界性问题,运用泛函分析多复变的方法得到了多圆柱上μ-Bloch空间βμ之间的加权复合算子Tψ,φ为有界算子的充要条件.Some questions of Weighted composition operators between μ-Blochspaces βμ on the polycylinder are studied in this paper.By the methods of functional analsis and several complex variables,the necessary and sufficient conditions are given for Weighted composition operators to be bounded between μ-Blochspaces βμ on the polycylinder.

关 键 词：βμ空间 加权复合算子 有界算子 多圆柱 

分 类 号：O174.56[理学—数学]