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| 摘要: |
| 本文研究了从Fα2到Fα2，m上的加权复合算子的一些性质.利用一个重要的估计，获得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Fα2，m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类算子 |
| DOI： |
| 分类号:O177.1 |
| 基金项目:国家自然科学基金资助（11101099；11561012）. |
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| WEIGHTED COMPOSITION OPERATORS OF THE FOCK-TYPE SPACES |
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ZHAO Jian,YANG Cong-li,PAN Wei-ye
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| Abstract: |
| In this paper, we research some characters of the weighted composition operator of the Fα2 to Fα2,m. By using a significant estimate, several equivalent conditions on the bounded and compactness of the weighted composition operator are given, and we give a sufficient and necessary condition that it is Hilbert-Schmidt operator. |
| Key words: Fock-type spaces weighted composition operator boundedness compactness Hilbert-Schmidt operators |
