| Weak-type Endpoint Estimates for Multilinear Singular Integral Operators |
| |
| 作者姓名： | DunYanYAN GuoEnHU |
| |
| 作者单位： | [1]SchoolofInformationScienceandEngineering,theGraduateSchooloftheChineseAcademyofSciences,Beijing100080P.R.China [2]DepartmentofAppliedMathematics,UniversityofInformationEngineering,P.O.Box1001-747,Zhengzhou450002,P.R.China |
| |
| 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].
|
| 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： | 23 November 2001 |
Weak-type Endpoint Estimates for
Multilinear Singular Integral Operators |
| |
| DunYanYAN GuoEnHU.Weak-type Endpoint Estimates for Multilinear Singular Integral Operators[J].Acta Mathematica Sinica,2005,21(1):209-214. |
| |
| Authors: | Dun Yan Yan Guo En Hu Jia Cheng Lan |
| |
| Institution: | (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 |
| |
| 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. |
| |
| Keywords: | Multilinear integrals Calderón-Zygmund kernel H 1 (ℝ n ) BMO (ℝ n |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
