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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. |
| 关键词: Bergman型空间 加权Zygmund空间 推广的Volterra复合算子 本性范数 |
| DOI： |
| 分类号:O174.56 |
| 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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| ESSENTIAL NORMS OF THE GENERALIZED VOLTERRA COMPOSITION OPERATORS |
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JIANG Zhi-jie
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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. |
| Key words: Bergman-type space weighted Zygmund space generalized Volterra composition operator essential norm |
