| A NOTE TO OSCILLATORY SINGULAR INTEGRALS ON HERZ—TYPE SPACES |
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| 引用本文： | G.Sampson XuJingshi. A NOTE TO OSCILLATORY SINGULAR INTEGRALS ON HERZ—TYPE SPACES[J]. 分析论及其应用, 2003, 19(1): 37-46. DOI: 10.1007/BF02835476 |
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| 作者姓名： | G.Sampson XuJingshi |
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| 作者单位： | [1]AuburnUniversity,U.S.A [2]HunanUniversity,China/ChangshaUniversityofElectricPower,China |
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| 基金项目： | Xu Jingshi is partially supported by the NSF of Hunan,China(01JJY3003),A project supported by Scientific Research Fund of Hunan Provincial Education Department(02C067) |
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| 摘 要： | In this paper, we want to improve our previous results. We prove that some oscillatory strong singular integral operators of non-convolution type with non-polynomial phases are bounded from Herz-type Hardy spaces to Hertz spaces and from Hardy spaces associated with the Beurling algebras to the Beurling algebrasin higher dimensions.
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| 关 键 词： | 摄动奇异积分 Herz空间 Hardy空间 Beurling代数 相 积分算子 Calderon－Zygumnd核 |
| 收稿时间： | 2002-07-10 |
A note to oscillatory singular integrals on Herz-type spaces |
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| G. Sampson,Xu Jingshi. A note to oscillatory singular integrals on Herz-type spaces[J]. Analysis in Theory and Applications, 2003, 19(1): 37-46. DOI: 10.1007/BF02835476 |
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| Authors: | G. Sampson Xu Jingshi |
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| Affiliation: | (1) Dept. of Math., Auburn University, 36849-5310, AL, U.S.A.;(2) Dept. of Math., Changsha University of Electric Power, 410077 Changsha, P.R. China;(3) Hunan University, China |
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| Abstract: | In this paper, we want to improve our previous results. We prove that some oscillatory strong singular integral operators of non-convolution type with non-polynomial phases are bounded from Herz-type Hardy spaces to Herz spaces and from Hardy spaces associated with the Beurling algebras to the Beurling algebras in higher dimensions. |
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| Keywords: | oscillatory singular integral phase Lebesgue space Herz space Beurling algebra Hardy space |
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