Weighted Composition Followed and Proceeded by Differentiation Operators from $Q_{k}(p,q)$ Space to Weighted $\alpha$-Bloch Space

DOI：10.3770/j.issn:1000-341X.2011.06.019

 作者 单位 龙见仁 贵州师范大学数学与计算机科学学院, 贵州 贵阳 550001 伍鹏程 贵州师范大学数学与计算机科学学院, 贵州 贵阳 550001

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.

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.