| Remarks on g-functions on H^n |
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| 引用本文： | Ming Ju LIU Shan Zhen LU. Remarks on g-functions on H^n[J]. 数学学报(英文版), 2007, 23(1): 7-16. DOI: 10.1007/s10114-005-0760-9 |
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| 作者姓名： | Ming Ju LIU Shan Zhen LU |
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| 作者单位： | [1]LMIB and Department of Mathematics, Beihang University, Beijing 100083, P. R. China [2]Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China |
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| 基金项目： | Supported by the National 973 Project （G. 19990751） and the SEDF of China （20010027002） and Math. Tianyuan Project |
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| 摘 要： | In this paper, the authors study some properties of Littlewood-Paley g-functions gψ（f）,Lusin area functions Sψ,α（f） and Littlewood-Paley gψ^＊,λ（f） functions defined on H^n, where α,λ 〉 0 and ψ, f are suitable functions. They are the generalization of the corresponding operators on R^n.
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| 关 键 词： | 正方可积函数 权重 Herz空间 λ（f）函数 数学分析 |
| 收稿时间： | 2004-01-02 |
| 修稿时间： | 2004-01-022004-04-19 |
Remarks on g–functions on ℍ n |
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| Ming Ju Liu,Shan Zhen Lu. Remarks on g–functions on ℍ n[J]. Acta Mathematica Sinica(English Series), 2007, 23(1): 7-16. DOI: 10.1007/s10114-005-0760-9 |
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| Authors: | Ming Ju Liu Shan Zhen Lu |
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| Affiliation: | (1) LMIB and Department of Mathematics, Beihang University, Beijing 100083, P. R. China;(2) Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China |
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| Abstract: | In this paper, the authors study some properties of Littlewood–Paley g–functions g ψ (f), Lusin area functions S ψ,α (f) and Littlewood–Paley  functions defined on ℍ n , where α, λ > 0 and ψ, f are suitable functions. They are the generalization of the corresponding operators on ℝ n . Supported by the National 973 Project (G. 19990751) and the SEDF of China (20010027002) and Math. Tianyuan Project |
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| Keywords: | Square integrable function Weight Herz spaces |
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