The Root Operator on Invariant Subspaces of the Weighted Bergman Space

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作者：
Xiao Yang ZHOU Xiu Ying SHI Yu Feng LU School of Mathematical Science Dalian University of Technology Liaoning P R China School of Continuing Education Chifeng University Inner Mongolia P R China [1 ,2 ,1 ,1 ,116024 ,2 ,24000 ]
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来源：
数学研究与评论 | 2010年 / 30卷 / 01期
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中图分类号：
O177.3 [线性空间理论（向量空间）];
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摘要：
In this paper, for an invariant subspace I of the weighted Bergman space, the weighted root operator is defined. We study the weighted root operator and obtain its fundamental properties when the invariant subspace I has finite index. Furthermore, we give some examples of the root operator and estimate ranks of the operators.
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页码：54 / 66
页数：13
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