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.
出处
《数学物理学报(A辑)》
CSCD
北大核心
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