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| 摘要: |
| 本文研究了Fock-Sobolev空间上有关Volterra型积分算子与复合算子乘积有界性和紧性的问题.利用再生核，Carleson测度和Berezin变换等方法.获得了有界性和紧性的一个等价刻画，推广了Fock空间上的结果. |
| 关键词: Fock-Sobolev空间 Volterra型积分算子 复合算子 |
| DOI： |
| 分类号:O177.2 |
| 基金项目: |
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| PRODUCTS OF VOLTERRA TYPE OPERATORS AND COMPOSITION OPERATORS BETWEEN FOCK SOBOLEV SPACES |
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WU Shu-qi
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| Abstract: |
| In this paper, we research some characters of products of Volterra type operators and composition operators between Fock Sobolev spaces. We use reproducing kernel and Carleson measure and Berezin transform. Several equivalent conditions on the bounded and compactness of the operator are given, we extend the conclusion of Fock spaces. |
| Key words: Fock Sobolev spaces Volterra type integral operators composition operators |
