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摘要: |
本文研究了从F^{2}_{\alpha}到F^{2,m}_{\alpha}上的加权复合算子, 得到了有关有界性和紧性的几个等价刻画,并且给出了该算子是F^{2,m}_{\alpha}上的Hilbert-Schmidt类算子的一个充分必要条件. |
关键词: Fock型空间 加权复合算子 有界性 紧性 Hilbert-Schmidt算子 |
DOI: |
分类号:O174.52 |
基金项目:国家自然科学基金项目 |
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Weighted composition operator of the Fock-type spaces |
zhaojian,杨丛丽
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Abstract: |
We researched weighted composition operator of the F^{2}_{\alpha} to F^{2,m}_{\alpha} in this paper,several equivalent conditions on the bounded and compactness of the weighted composition operator were given,and we gove a sufficient and necessary condition that it was Hilbert-Schmidt operator. |
Key words: Fock-type spaces Weighted composition operator Boundedness Compactness Hilbert-Schmidt operators |