| 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 |
| 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 |
| Weighted Composition Followed and Proceeded by Differentiation Operators from $Q_{k}(p,q)$ Space to Weighted $\alpha$-Bloch Space |
| 投稿时间：2010-08-10 修订日期：2010-11-20 |
| DOI：10.3770/j.issn:1000-341X.2011.06.019 |
| 中文关键词: $Q_{k}(p,q)$空间 加权$\alpha-Bloch$空间 加权复合算子 微分算子 有界性 紧性. |
| 英文关键词:$Q_{k}(p,q)$ space weighted $\alpha$-Bloch space weighted composition operators differentiation operators boundedness compactness. |
| 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]). |
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| 中文摘要: |
| 我们主要研究了$Q_{k}(p,q)$空间到加权$\alpha-Bloch$空间(小加权$\alpha-Bloch$空间)的加权复合微分后置算子和加权复合微分前置算子的有界性和紧性；并且得到了上述算子为有界和紧的充分必要条件. |
| 英文摘要: |
| We study the boundedness and compactness of the weighted composition followed and proceeded by differentiation operators from $Q_{k}(p,q)$ space to weighted $\alpha$-Bloch space and little weighted $\alpha$-Bloch space. Some necessary and sufficient conditions for the boundedness and compactness of these operators are given. |
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