摘要
本文研究了Q_κ空间上紧的复合算子C_φ的两个性质.论文给出了如果在D上的符号函数φ的上确界小于1,则C_φ在Q_κ空间上是紧的.还限定了在φ为某些条件下,C_φ在Q_κ空间与Bloch空间上的紧性是等价的.
In this paper, we give two properties of compact composition operators CФ on QK spaces. We show that if the supremum of the symbol function Ф on D is less than one, then CФ is compact on QK spaces. We also give a sufficient condition of Ф to show that the compactness of CФ on QK spaces is equivalent to the compactness of CФ on the Bloch space.
出处
《南京大学学报（数学半年刊）》
2017年第1期43-50,共8页
Journal of Nanjing University(Mathematical Biquarterly)
基金
Supported by NSF of China(11471202)
Scientific research project of Shaanxi Provincial Department of Education(16JK1183)
