| Hankel算子的范数及H10(T2)的分解 |
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| 引用本文： | 郭训香.Hankel算子的范数及H10(T2)的分解[J].四川大学学报(自然科学版),2000,37(3). |
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| 作者姓名： | 郭训香 |
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| 作者单位： | 四川大学数学学院，成都610064 |
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| 摘 要： | 给出了PolvdiakD2=D×D上小-Hankel算子Hψ:H2(T2)→ 范数估计，即‖Hψ‖=dis(ψ，H∞ L∞(T)+L∞ H∞(T))，再结合对偶关系得出了H10(T2)的分解，即 f∈H10(T2)，存在{Fi}∞1，{Gi}∞1∈H2(T2)使得f=∑FiGi且该函数级数按H3范数收敛于f.
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| 关 键 词： | 小Hankel算子 正交投影算子 对偶关系 勒贝格测度 |
NORM OF HANKEL OPERATOR AND THE DECOMPOSITION OF FUNCTIONS IN H10(T2) |
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| GUO Xun-xiang.NORM OF HANKEL OPERATOR AND THE DECOMPOSITION OF FUNCTIONS IN H10(T2)[J].Journal of Sichuan University (Natural Science Edition),2000,37(3). |
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| Authors: | GUO Xun-xiang |
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| Abstract: | The author obtained the norm of little Hankel operator on Polydisk D2 = D × D , that is: Hψ dis (ψ,H∞ L∞(T)+L∞ H∞(T)) . Combining with the classical dual relationship, the author also obtained the decomposition of functions in H10(T2),that is: f ∈H10(T2),there exist functional sequences {Fi}∞1, {Gi}∞1∈ H2(T2) . St f = ∑∞FiGi. This series of functions converge to f1 in H1(T2) norm. |
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| Keywords: | little Hankel operator orthogonal project operator dual relationship Lebesgue measure |
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