| Weak-type Endpoint Estimates for Multilinear Singular Integral Operators |
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| 引用本文： | DunYanYAN GuoEnHU. Weak-type Endpoint Estimates for Multilinear Singular Integral Operators[J]. 数学学报(英文版), 2005, 21(1): 209-214. DOI: 10.1007/s10114-003-0254-6 |
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| 作者姓名： | DunYanYAN GuoEnHU |
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| 作者单位： | [1]SchoolofInformationScienceandEngineering,theGraduateSchooloftheChineseAcademyofSciences,Beijing100080P.R.China [2]DepartmentofAppliedMathematics,UniversityofInformationEngineering,P.O.Box1001-747,Zhengzhou450002,P.R.China |
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| 摘 要： | In this paper, the authors discuss a class of multilinear singular integrals and obtain that the operators are bounded from H^1(R^n) to weak L^1(R^n). Using this result, we can directly prove a main theorem in [5].
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| 关 键 词： | 多线性奇异积分 Calderon-Zygmund核 H^1（R^n）空间 泰勒级数 BMO |
| 收稿时间： | 2001-11-23 |
Weak-type Endpoint Estimates forMultilinear Singular Integral Operators |
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| Dun Yan Yan,Guo En Hu,Jia Cheng Lan. Weak-type Endpoint Estimates forMultilinear Singular Integral Operators[J]. Acta Mathematica Sinica(English Series), 2005, 21(1): 209-214. DOI: 10.1007/s10114-003-0254-6 |
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| Authors: | Dun Yan Yan Guo En Hu Jia Cheng Lan |
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| Affiliation: | (1) School of Information Science and Engineering, the Graduate School of the Chinese Academy of Sciences, Beijing 100080, P. R. China;(2) Department of Applied Mathematics, University of Information Engineering, P.O. Box 1001-747, Zhengzhou 450002, P. R. China;(3) Department of Mathematics, Lishui Teachers College, Lishui 323000, P. R. China |
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| Abstract: | In this paper, the authors discuss a class of multilinear singular integrals and obtain that the operators are bounded from H 1 (ℝ n ) to weak L 1 (ℝ n ). Using this result, we can directly prove a main theorem in [5]. The research is supported by Professor Xu Yuesheng’s research grant in the program of “One hundred Distinguished Young Scientists” of the Chinese Academy of Sciences. |
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| Keywords: | Multilinear integrals Calderón-Zygmund kernel H 1 (ℝ n ) BMO (ℝ n |
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