摘要
令φ为单位圆盘的解析自映射.研究Dirichlet空间到QK(p,q)空间复合算子的紧性.主要得到以下结论:Cφ:D→QK(p,q)是紧的,当且仅当lim‖Cφσλ‖p,q,K=0.
Suppose that φ is an analytic self-map of the unit disk D. In this paper,we study the compactness of the composition operator from the Dirichlet space D to the spaces QK （p,q）. It is obtained that Cφ：D→QK （p, q） is compact if and only if.lim｜λ｜→1 Ⅱ CφσλⅡ p.q.k =0
出处
《徐州师范大学学报（自然科学版）》
CAS
2008年第3期54-56,60,共4页
Journal of Xuzhou Normal University(Natural Science Edition)
基金
the Natural Science Foundation of China(10471039)
the Higher Schools Natural Science Basic Research Foundation of Jiangsu Province(06KJD110175
07KJB110115)
