| 从加权Bloch空间到Q_k(p,q)空间上的复合算子 |
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| 引用本文： | 龙见仁,伍鹏程. 从加权Bloch空间到Q_k(p,q)空间上的复合算子[J]. 华南师范大学学报(自然科学版), 2012, 0(1): 48-53,57 |
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| 作者姓名： | 龙见仁 伍鹏程 |
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| 作者单位： | 贵州师范大学数学与计算机科学学院 |
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| 基金项目： | 国家自然科学基金项目(11171080);贵州省科学技术基金项目(LKS[2010]07) |
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| 摘 要： | 假设是单位圆D上一个解析自映射.加权Bloch空间Bαlog是单位圆D上一个Banach空间,定义Bαlog上复合算子C:Cf=f,对所有的f∈Bαlog.利用K-Carleson测度刻画了Bαlog(Bαlog,0)空间到Qk(p,q)空间的复合算子的有界性,以及Bαlog空间到Qk,0(p,q)空间的复合算子的有界性和紧性.
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| 关 键 词： | 复合算子 加权Bloch空间 Qk(p,q)空间 K-Carleson测度 紧性 有界性 |
Composition Operators from Weighted Bloch Space to Q_k(p,q) Space |
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| LONG Jianren,WU Pengcheng. Composition Operators from Weighted Bloch Space to Q_k(p,q) Space[J]. Journal of South China Normal University(Natural Science Edition), 2012, 0(1): 48-53,57 |
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| Authors: | LONG Jianren WU Pengcheng |
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| Affiliation: | (Shool of Mathematics and Computer Science,Guizhou Normal University,Guiyang,Guizhou 550001,China) |
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| Abstract: | Suppose that is an analytic map of the unit disk D into itself,and Bαlog is a Banach space of analytic functions on D.Define a composition operator C on Bαlog by Cf=f0 for all f∈Bαlog.The boundedness of composition operators from Bαlog(Bαlog,0) to Qk(p,q),and the boundedness and compactness of composition operators from Bαlog to Qk,0(p,q) are discussed by using K-Carleson measure. |
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| Keywords: | composition operator weighted Bloch space Qk(p,q) space K-Carleson measure compactness boundedness |
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