Supported by the National Natural Science Foundation of China (10471039);the Grant of Higher Schools' Natural Science Basic Research of Jiangsu Province of China (06KJD110175;07KJB110115)
The authors study the iterated commutators on the weighted Bergman spaces A2(φ), and prove that Cnh is compact on A2(φ) if and only if h ∈ B0.
Foundation item: Supported by the Natural Science Foundation of China(10471039); Supported by the Natural Science Foundation of the Education Committee of Jiangsu Province of China(06KJD110175; 07KJB110115); Supported by the Scientific Research Foundation of Xuzhou professional of Architectural Technologies(07JYA3-13) Acknowledgment The authors thank the referees and the editors for good advice on this paper. The second author also thanks professors Shaozong Yan and Xiaoman Chen for their encouragement and help while visiting in Fudan university.
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 οφ,for f ∈ X.In this paper,we study the boundedness and...
the National Natural Science Foundation of China (No.10471039);the Grant of Higher Schools’ Natural Science Basic Research of Jiangsu Province of China (Nos.06KJD110175; 07KJB110115)
Suppose φ is an analytic map of the unit disk D into itself, X is a Banach space of analytic functions on D. Define the composition operator Cφ: Cφf = f °φ, for all f ∈ X. In this paper, the boundedness and comp...