| 从$Q_{k}(p,q)$空间到加权$\alpha-Bloch$空间的加权复合微分后置和前置算子 |
| |
| 引用本文： | 龙见仁,伍鹏程.从$Q_{k}(p,q)$空间到加权$\alpha-Bloch$空间的加权复合微分后置和前置算子[J].数学研究及应用,2011,31(6):1097-1107. |
| |
| 作者姓名： | 龙见仁 伍鹏程 |
| |
| 作者单位： | 贵州师范大学数学与计算机科学学院, 贵州 贵阳 550001;贵州师范大学数学与计算机科学学院, 贵州 贵阳 550001 |
| |
| 基金项目： | 国家自然科学基金(Grant No.11171080),贵州省科学技术基金(Grant No.2010[07]). |
| |
| 摘 要： | We study the boundedness and compactness of the weighted composition followed and proceeded by differentiation operators from Q_k（p,q）space to weighted α-Bloch space and little weighted α-Bloch space.Some necessary and sufficient conditions for the boundedness and compactness of these operators are given.
|
| 关 键 词： | Bloch空间 运营商 加权 分化 充分必要条件 有界性 |
| 收稿时间： | 2010/8/10 0:00:00 |
| 修稿时间： | 2010/11/20 0:00:00 |
Weighted Composition Followed and Proceeded by Differentiation Operators from $Q_{k}(p,q)$ Space to Weighted $\alpha$-Bloch Space |
| |
| Jian Ren LONG and Peng Cheng WU.Weighted Composition Followed and Proceeded by Differentiation Operators from $Q_{k}(p,q)$ Space to Weighted $\alpha$-Bloch Space[J].Journal of Mathematical Research with Applications,2011,31(6):1097-1107. |
| |
| Authors: | Jian Ren LONG and Peng Cheng WU |
| |
| Institution: | School of Mathematics and Computer Science, Guizhou Normal University, Guizhou 550001, P. R. China;School of Mathematics and Computer Science, Guizhou Normal University, Guizhou 550001, P. R. China |
| |
| Abstract: | We study the boundedness and compactness of the weighted composition followed and proceeded by differentiation operators from $Q_{k}(p,q)$ space to weighted $\alpha$-Bloch space and little weighted $\alpha$-Bloch space. Some necessary and sufficient conditions for the boundedness and compactness of these operators are given. |
| |
| Keywords: | $Q_{k}(p q)$ space weighted $\alpha$-Bloch space weighted composition operators differentiation operators boundedness compactness |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
