Hardy-Orlicz空间之间的加权复合算子  

Weighted Composition Operators Between Hardy-Orlicz Spaces

作　　者：王茂发[1] 周少波[2] 

机构地区：[1]中科院武汉物理与数学研究所 [2]华中科技大学数学系,武汉430074

出　　处：《数学物理学报（A辑）》2005年第4期509-515,共7页Acta Mathematica Scientia

基　　金：国家自然科学基金(10401027;10371093)资助

摘　　要：该文研究了复平面中单位圆盘上不同Hardy-Orlicz空间之间的加权复合算子,利用Carleson测度不等式给出了有界或紧的加权复合算子ωCφ:Np→Nq的特征.作为推论得到了加权复合算子ωCφ:Np→Nq有界(或紧)的充分必要条件是ωCφ:Hp→Hq是有界(或紧)的.此外,还给出了Hardy-Orlicz空间上可逆及Fredholm复合算子的特征.In this paper, some sufficient and necessary conditions for weighted composition operators between Hardy-Orlicz spaces to be bounded or compact are given respectively. As a corollary, the authors obtain that the boundedness or compactness for weighted composition operators between Hardy-Orlicz spaces is equivalent to corresponding ones on associated Hardy spaces. In addition, the authors also characterize the inducing maps which induce invertible or Fredholm composition operators on Np.

关 键 词：加权复合算子 Hardy—Orlicz空间 CARLESON测度 FREDHOLM算子 

分 类 号：O177.5[理学—数学]