| Carleson测度和多项式逼近 |
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| 引用本文： | 邱志坚. Carleson测度和多项式逼近[J]. 数学年刊A辑(中文版), 2007, 0(2) |
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| 作者姓名： | 邱志坚 |
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| 作者单位： | 西南财经大学经济数学系 成都 |
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| 基金项目： | 教育部留学回国人员科研启动基金资助的项目． |
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| 摘 要： | 设G是复平面C上的单连通区域,在研究G上的Carleson测度和多项式在G上的Hardy空间Hq(G)中的稠密性问题时,建立起了两者之间的一种等价关系．用Carleson测度给出了多项式在Hq(G)中稠密的充要条件,也刻画了所有那些使得在其上的Carleson测度和Carleson不等式等价的单连通区域．
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| 关 键 词： | Carleson测度 调和测度 Hardy空间 多项式逼近 |
Carleson Measure and Polynomial Approximation |
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| QIU Zhijian. Carleson Measure and Polynomial Approximation[J]. Chinese Annals of Mathematics, 2007, 0(2) |
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| Authors: | QIU Zhijian |
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| Affiliation: | QIU Zhijian Department of Economic Mathematics,Southwestern University of Finance and Economics,Chengdu 610074,China. |
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| Abstract: | Let G be a simply connected domain in the complex plane C. This paper studies Carleson measures on G and the density problem of, P, the set of the polynomials in the Hardy spaces Hq(G), and gives a necessary and sufficient condition for the density of problem of P in Hq(G) in terms of Carleson measure, and also characterizes all simply connected domains on which the Carleson measure and the Carleson measure inequality are equivalent. |
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| Keywords: | Carleson measure Harmonic measure Hardy space Polynomial approximation |
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