| 小Bloch型空间上的加权复合算子 |
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| 引用本文： | 张学军.小Bloch型空间上的加权复合算子[J].数学杂志,2005,25(4):361-367. |
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| 作者姓名： | 张学军 |
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| 作者单位： | 湖南师范大学数学与计算机科学学院,湖南,长沙,410006;湖州师范学院数学系,浙江,湖州,313000 |
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| 基金项目： | Supported by the National Natural Science Foundation of China (19871026) and theNatural Science Foundation of Zhejiang Province(M103104) |
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| 摘 要： | 本文将刻划从小Bloch型空间β0p到β0q(0＜p,q＜∞)上加权复合算子Tψ,ψ的有界性和紧性.同时得到了Tψ,ψ是Bloch型空间βp到βq(p＞1,0≤q≤1)有界算子的充要条件以及Tψ,ψ是Bloch型空间βp到βq(0≤p,q＜∞)紧算子的充要条件.
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| 关 键 词： | Bloch型空间 有界性 紧性 加权复合算子 |
| 文章编号： | 0255-7797(2005)04-0361-07 |
WEIGHTED COMPOSITION OPERATORS ON THE LITTLE BLOCH TYPE SPACES |
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| ZHANG Xue-jun.WEIGHTED COMPOSITION OPERATORS ON THE LITTLE BLOCH TYPE SPACES[J].Journal of Mathematics,2005,25(4):361-367. |
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| Authors: | ZHANG Xue-jun |
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| Abstract: | In this paper, we characterize the boundedness and compactness of weighted composition operators Tψ,ψ from the little Bloch type spaceβ0p toβ0q for 0 ＜p, q＜∞. At the same time, we get the necessary and sufficient conditions that Tψ,ψ is a bounded operator from Bloch type spaceβp toβq for p＞1,0≤q≤1 and the necessary and sufficient conditions that Tψ,ψ is a compact operator from Bloch type spaceβp toβq for 0≤p, q＜∞. |
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| Keywords: | Bloch type space boundedness compactness weighted composition operator |
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