摘要
When φ is an analytic map of the unit disk D into itself, and X is a Banach space of analytic functions on D, define the composition operator Cφ by Cφ(f) : f oφ, for f E X. This paper deals with a collection of subclasses of Bloch space by means of composition operators from a subspace B^0 of Qa to E(p,q) and Eo(p,q) and gets a new characterization of spaces E(p, q) and Eo(p, q).
设φ是单位园盘D到自身的解析映射,X是D上解析函数的Banach空间,对f∈X,定义复合算子C_φ∶C_φ)(f)=fφ.我们利用从B^0到E(p,q)和E_0(p,q)空间的复合算子研究了空间E(p,q)和E_0(p,q),给出了一个新的特征.
基金
the National Natural Science Foundation of China (10471039)
the Natural Science Foundation of the Education Commission of Jiangsu Province (03KJD140210).