Cn中单位球上&mu|-Bloch空间之间的加权复合算子 |
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作者单位: | (湖南师范大学数学与计算机科学学院 长沙 410081) |
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基金项目: | 湖南省自然科学基金(06JJ50010)资助 |
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摘 要: | 设 μ 和 ν 是0,1)上两个正规函数, 该文给出了Cn(n>1)中单位球上Bloch型空间βμ 到βν 之加权复合算子Tψ,φ为有界算子和紧算子的充要条件.
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关 键 词: | μ-Bloch空间 加权复合算子 有界性 紧性 |
收稿时间: | 2007-06-21 |
修稿时间: | 2009-03-09 |
Weighted Composition Operators Between &mu|-Bloch Spaces on the Unit Ball of Cn |
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Institution: | (College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081) |
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Abstract: | Let μ and ν be two normal functions on 0,1). In this paper, the necessary and sufficient conditions are given for the weighted composition
operator Tψ,φ to be bounded (or compact) from Bloch type spaces βμ to βν on the unit ball B of Cn (n>1). |
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Keywords: | &muzz -Bloch  spacezz  zz Weighted composition operatorzz Boundednesszz Compactnesszz |
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