| 推广的Volterra复合算子的本性范数 |
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| 引用本文： | 江治杰. 推广的Volterra复合算子的本性范数[J]. 数学杂志, 2016, 36(5): 929-939 |
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| 作者姓名： | 江治杰 |
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| 作者单位： | 四川理工学院理学院, 四川 自贡 643000 |
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| 基金项目： | Supported by the National Natural Science Foundation of China (11201323);the Sichuan Province University Key Laboratory of Bridge Non-destruction Detecting and Engineering Computing (2013QZJ01) and the Introduction of Talent Project of SUSE (2014RC04). |
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| 摘 要： | 本文研究单位圆盘上Bergman型空间到Zygmund型空间上的一类推广的Volterra复合算子.利用符号函数ϕ和g刻画这类算子的有界性、紧性,并计算其本性范数.
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| 关 键 词： | Bergman型空间 加权Zygmund空间 推广的Volterra复合算子 本性范数 |
| 收稿时间： | 2014-03-13 |
| 修稿时间： | 2014-06-23 |
ESSENTIAL NORMS OF THE GENERALIZED VOLTERRA COMPOSITION OPERATORS |
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| JIANG Zhi-jie. ESSENTIAL NORMS OF THE GENERALIZED VOLTERRA COMPOSITION OPERATORS[J]. Journal of Mathematics, 2016, 36(5): 929-939 |
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| Authors: | JIANG Zhi-jie |
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| Affiliation: | School of Science, Sichuan University of Science and Engineering, Zigong 643000, China |
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| Abstract: | In this paper, we introduce a generalized Volterra composition operator on H(D) by Jϕ,g(n)f(z)=∫0z(f(n)◦ϕ)(ξ)(g◦ϕ)''(ξ)dξ. By using the maps ϕ and g, we characterize the boundedness and compactness of this operator from Bergman-type space to weighted Zygmund space and weighted Bloch space. We also obtain an asymptotic expression of the essential norm for this operator. |
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| Keywords: | Bergman-type space weighted Zygmund space generalized Volterra composition operator essential norm |
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