A SHARP FUNCTION ESTIMATE FOR MULTILINEAR SINGULAR INTEGRAL OPERATORS 被引量：5

A SHARP FUNCTION ESTIMATE FOR MULTILINEAR SINGULAR INTEGRAL OPERATORS

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摘要 A variant sharp function estimate is established for the multilinear singular integral operators. Two applications of this estimate are also given. A variant sharp function estimate is established for the multilinear singular integral operators. Two applications of this estimate are also given.

作者 Hu Guoen(Department of Applied Mathematics Institute of Information Engineering P. O. Box 1001-747, Zhengzhou 450002 PRC)

出处《Analysis in Theory and Applications》 2000年第1期17-25,共9页 分析理论与应用（英文刊）

关键词 oscillatory integral operator MULTIPLIER SINGULARITY oscillatory integral operator multiplier singularity

分类号 O174.41 [理学—基础数学]

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参考文献2

1Carlos Pérez.Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maximal function[J].The Journal of Fourier Analysis and Applications.1997(6)
2Folland,G. B. and Stein,E. M.Hardy Spaces on Homogeneous Groups, Princeton Univ[]..1982

同被引文献5

1邓东皋,颜立新.COMMUTATORS OF SINGULAR INTEGRAL OPERATORS WITH NON-SMOOTH KERNELS[J].Acta Mathematica Scientia,2005,25(1):137-144. 被引量：10
2谌稳固,胡国恩.一个多线性奇异积分的弱型(H^1,L^1)估计(英文)[J].数学进展,2001,30(1):63-69. 被引量：10
3Yong DING Shan Zhen LU Department of Mathematics,Beijing Normal University,Beijing 100875,P.R.China E-mail:dingy@bnu.edu.cn lusz@bnu.edn.cn.Weighted Boundedness for a Class of Rough Multilinear Operators[J].Acta Mathematica Sinica,English Series,2001,17(3):517-526. 被引量：25
4赵巧珍,黄得建.带Calderón-Zygmund核的Toeplitz型算子的有界性[J].海南热带海洋学院学报,2020,27(5):62-68. 被引量：1
5GuoEnHU.L^2（R^n） Boundedness for a Class of Multilinear Singular Integral Operators[J].Acta Mathematica Sinica,English Series,2003,19(2):397-404. 被引量：10

引证文献5

1焦玉兰.多线性奇异积分算子的弱端点估计[J].信息工程大学学报,2004,5(2):38-42.
2Unisys客户服务中心[J].计算机,2001(21):52-52.
3刘岚喆.带非光滑核的多线性奇异积分算子的有界性[J].数学物理学报（A辑）,2010,30(1):167-178. 被引量：1
4俞飞.向量值多线性奇异积分算子在广义Morrey空间上的有界性(英文)[J].湖南师范大学自然科学学报,2015,38(5):76-83.
5赵巧珍,黄得建.向量值多线性奇异积分算子的加权Sharp不等式[J].海南热带海洋学院学报,2024,31(2):96-103.

二级引证文献1

1孙爱文,王永艳,束立生.带非光滑核的奇异积分算子生成的多线性交换子在齐型空间的有界性[J].数学物理学报（A辑）,2014,34(2):347-357. 被引量：1

1Yulan Jiao.ESTIMATES FOR THE MAXIMAL MULTILINEAR SINGULAR INTEGRAL OPERATORS[J].Analysis in Theory and Applications,2010,26(3):261-277.
2HU GuoEn1 & LU ShanZhen2 1Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou 450002, China,2Department of Mathematics, Beijing Normal University, Beijing 100875, China.Weighted estimates for the multilinear singular integral operators with non-smooth kernels[J].Science China Mathematics,2011,54(3):587-602. 被引量：7
3GuoEnHU.L^2（R^n） Boundedness for a Class of Multilinear Singular Integral Operators[J].Acta Mathematica Sinica,English Series,2003,19(2):397-404. 被引量：10
4丁勇,陆善镇.Hardy spaces estimates for a class of multilinear homogeneous operators[J].Science China Mathematics,1999,42(12):1270-1278. 被引量：2
5DunYanYAN,GuoEnHU.Weak-type Endpoint Estimates for Multilinear Singular Integral Operators[J].Acta Mathematica Sinica,English Series,2005,21(1):209-214. 被引量：2
6Hu Guoen,Zhu Yueping.WEIGHTED NORM INEQUALITIES FOR THE COMMUTATORS OF MULTILINEAR SINGULAR INTEGRAL OPERATORS[J].Acta Mathematica Scientia,2011,31(3):749-764. 被引量：4
7JiaoYulan.A NOTE ON THE MULTILINEAR SINGULAR INTEGRAL OPERATORS[J].Analysis in Theory and Applications,2004,20(4):373-382.

Analysis in Theory and Applications

2000年第1期

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A SHARP FUNCTION ESTIMATE FOR MULTILINEAR SINGULAR INTEGRAL OPERATORS 被引量：5

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