| Arveson空间中元素的乘积 |
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| 引用本文： | 侯绳照,孙顺华.Arveson空间中元素的乘积[J].数学进展,2006,35(1):89-92. |
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| 作者姓名： | 侯绳照 孙顺华 |
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| 作者单位： | 1. 浙江大学数学系,杭州,浙江,310027
2. 嘉兴学院数学所,嘉兴,浙江,314001 |
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| 基金项目： | Partially supported by NSFC(No. 10301019) and the Shanxi Natural Science foundation(No. 20021005)
Partially supported by NSFC(No. 10471041). |
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| 摘 要： | 设f_1,f_2,…,f_d是Arveson空间中的元素,利用Hilbert模的张量积,证明它们的乘积在经典的Hardy空间中。
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| 关 键 词： | Arveson空间 Hardy空间 Hilbert模的张量积 |
| 文章编号： | 1000-0917（2006）01-0089-04 |
| 收稿时间： | 2004-04-05 |
| 修稿时间： | 2004年4月5日 |
On the Product of Elements in the Arveson Space |
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| HOU Sheng-zhao,SUN Shun-hua.On the Product of Elements in the Arveson Space[J].Advances in Mathematics,2006,35(1):89-92. |
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| Authors: | HOU Sheng-zhao SUN Shun-hua |
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| Affiliation: | 1. Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang, 310027, P. R. China; 2. Institute of Mathematics, Jiaxing College, Jiaxing, Zhejiang, 314001, P. R. China |
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| Abstract: | Let f1, f2, …, fa be in the Arveson space Hd2. By employing the tensor product of Hilbert modules, it is show that the product of f1, f2, …, fd-1 and fd is in the classical Hardy space H2(aBd). |
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| Keywords: | Arveson space Hardy space tenson product of Hilbert modules |
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