摘要
设Npa是面积型的Nevanlinna类.研究了Npa上的复合算子,主要通过建立面积型Nevanlinna类上的Carleson测度不等式而给出了复合算子Cφ:Npa→Nqa(1<p≤q)为有界(或紧)算子的充分必要条件.此外,还给出了Npa上可逆及Fredholm复合算子的特征.
Composition operators C_φ on area-type Nevanlinna classes N^p_a are studied. We give some sufficient and necessary conditions by constructing the Carleson inequality on N^p_a, for composition operator C_φ:N^p_a→ N^q_a(1<p≤q) to be bounded or compact. In addition, we also characterize the inducing maps which induce invetible or Fredholm composition operators on N^p_a.
出处
《武汉大学学报(理学版)》
CAS
CSCD
北大核心
2004年第1期1-5,共5页
Journal of Wuhan University:Natural Science Edition
基金
国家自然科学基金资助项目(19771063)