Weighted Composition Operators between Bergman Spaces with Exponential Weights
查看参考文献34篇
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文摘
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In this paper, we study some properties of weighted composition operators on a class of weighted Bergman spaces A_ϕ~p with 0 < p ≤ ∞ and ϕ ∈ W 0. Also, we completely characterize the q-Carleson measure for A_ϕ~p in terms of the averaging function and the generalized Berezin transform with 0 < q < ∞. As applications, the boundedness and compactness of weighted composition operators acting from one Bergman space A_ϕ~p to another A_ϕ~q are equivalently described and the Schatten class property of the weighted composition operator acting on A_ϕ~2 are given. Our main results are expressed in terms of certain Berezin type integral transforms. |
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来源
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Acta Mathematica Sinica. English Series
,2022,38(12):2231-2252 【核心库】
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DOI
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10.1007/s10114-022-2048-8
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关键词
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Weighted composition operator
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boundedness
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compactness
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Schatten class
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Bergman spaces
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地址
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School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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1439-8516 |
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学科
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数学 |
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基金
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国家自然科学基金
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the open project of Key Laboratory, School of Mathematical Sciences, Chongqing Normal University
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the Innovation Research for the Postgraduates of Guangzhou University
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文献收藏号
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CSCD:7375213
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参考文献 共
34
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