| The Root Operator on Invariant Subspaces of the Weighted Bergman Space |
| Received:July 06, 2009 Revised:December 04, 2009 |
| Key Words:
root operator index weighted Bergman space invariant subspace.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.10671028; 10971020). |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.01.005 |
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