Q_K空间上紧的复合算子的性质（英文）  

PROPERTIES OF COMPACT COMPOSITION OPERATORS ON Q_K SPACES

作　　者：杨鎏[1] 

机构地区：[1]陕西学前师范学院数学系,西安710100

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)

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.

关 键 词：复合算子 QK空间 BLOCH空间 

分 类 号：O177[理学—数学]