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国家重点基础研究发展计划(G19990751): 作品数：23被引量：74H指数：5; 导出分析报告; 相关作者：陆善镇樊恽黄小莉孙园刘宗光更多>>; 相关机构：北京师范大学武汉大学华中师范大学解放军信息工程大学更多>>; 相关期刊：《Acta Mathematicae Applicatae Sinica》《武汉大学学报（理学版）》《Acta Mathematica Scientia》《数学学报（中文版）》更多>>; 相关主题：COMMUTATORSBOUNDEDNESSCOMMUTATORHARDY_SPACEHERZ型HARDY空间更多>>; 相关领域：理学更多>>

BOUNDEDNESS OF GENERALIZED HIGHER COMMUTATORS OF MARCINKIEWICZ INTEGRALS被引量：14: 《Acta Mathematica Scientia》2007年第4期852-866,共15页默会霞陆善镇; Supported by National 973 Project(G.19990751);the SEDF of China(20040027001); Let b = （b1,…,bm） be a finite family of locally integrable functions. Then, we introduce generalized higher commutator of Marcinkiwicz integral as follows：（ μΩ^b^→（f）（x）=（∫ 0^∞｜FΩ^b^→,t（f）（x）｜^2...; 关键词：Generalized higher commutator of Marcinkiewicz integral Hardy space Lipschitz space

关于正定厄米特矩阵的Schur补的迹和特征值的不等式: 《数学杂志》2007年第2期188-190,共3页黄弘; 国家重点基础研究发展规划资助项目(G19990751); 本文研究了正定厄米特矩阵Schur补的迹和特征值的性质,通过一个不等式的证明,得到了正定厄米特矩阵和的Schur补与正定厄米特矩阵Schur补的和的迹和特征值之间的不等式.; 关键词：矩阵的迹不等式 SCHUR补半正定厄米特矩阵

The Boundedness for Commutators of Multipliers被引量：1: 《Acta Mathematicae Applicatae Sinica》2007年第1期113-122,共10页Wen-ming Li Shan-zhen Lu Hui-xia Mo; Supported by National 973 project(G.19990751);the Doctoral Programme Foundation of Institution of Higher Education of China(20040027001); Let [b, T] be the commutator generated by a Lipschitz function b ∈ Lip（β）（0 〈 β 〈 1） and multiplier T, The authors studied the boundedness of [b, T] on the Lebesgue spaces and Hardy spaces.; 关键词：COMMUTATOR MULTIPLIER Lipschitz space hardy space

Remarks on g-functions on H^n: 《Acta Mathematica Sinica,English Series》2007年第1期7-16,共10页Ming Ju LIU Shan Zhen LU; the National 973 Project(G.19990751);the SEDF of China(20010027002);Math.Tianyuan Project; 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 s...; 关键词：Square integrable function WEIGHT Herz spaces

关于矩阵方程X+A~* X^(-n)A=I的正定解被引量：2: 《数学杂志》2006年第4期415-418,共4页孙园; 国家重点基础研究发展规划资助(G19990751); 本文对任意正整数n界定了矩阵方程X+A*X-nA=I的正定解的特征值的范围,给出了它的极大正定解一个充分条件.; 关键词：矩阵方程谱半径 Hermit矩阵

A WEIGHTED ESTIMATE OF THE HORMANDER MULTIPLIER ON THE HEISENBERG GROUP被引量：1: 《Acta Mathematica Scientia》2006年第1期134-144,共11页刘明菊陆善镇; Supported by Project of Math Tianyuan, the National 973 Program (G. 19990751)SEDF of China (20010027002); In this article, the anthors prove the weighted boundedness of Hoermander-type multiplier on the Heisenberg group.; 关键词：WEIGHT Hoermander multiplier Heisenberg group

Pointwise estimates for the maximal multilinear singular integral operators: 《Science China Mathematics》2005年第12期1696-1706,共11页HU Guo’en, LI Dengfeng & LU Shanzhen Department of Applied Mathematics, University of Information Engineering, P. O. Box 1001 -747, Zhengzhou 450002, China College of Mathematical and Information Sciences, Henan University, Kaifeng 475001, China Department of Mathematics, Beijing Normal University, Beijing 100875, China; supported by the National Natural Science Foundation of China(Grant Nos.10271015&60272042);the 973 Project of China(Grant No.G19990751).; Two pointwise estimates relating the maximal multilinear singular integral operators and some classical maximal operators are established. These pointwise estimates imply the rearrangement estimate and the BLO(Rn) est...; 关键词：MULTILINEAR SINGULAR integral maximal operator BMO (Rn) BLO (Rn).

极大多线性奇异积分算子的一些点态估计: 《中国科学（A辑）》2005年第11期1265-1275,共11页胡国恩李登峰陆善镇; 国家自然科学基金(批准号:10271015;60272042)国家重点基础研究发展规划(批准号:G19990751)资助项目; 建立了联系极大多线性奇异积分算子与某些古典极大算子的两个点态估计,这些点态估计隐含着极大多线性奇异积分算子的重排估计和BLO(Rn)估计．; 关键词：多线性奇异积分极大算子 BMO(R^N) BLO(R^n)

Herz-type Hardy Space Estimates for Multilinear Operators with Dini Kernels: 《Northeastern Mathematical Journal》2004年第3期275-283,共9页刘明菊陆善镇; The National 973 Project (G. 19990751).; In this paper, the authors study the multilinear operators with Dini Kernel and obtain their boundedness from Herz spaces to Herz-type Hardy spaces. Moreover, the authors also consider the corresponding fractional ope...; 关键词：multilinear operator Herz-type Hardy space Herz space Dini kernel

BOUNDEDNESS OF COMMUTATORS RELATED TO MARCINKIEWICZ INTEGRALS ON HARDY TYPE SPACES被引量：5: 《Analysis in Theory and Applications》2004年第3期215-230,共16页LuShanzhen XuLifang; Supported by the National 973 Project (G.19990751) ; the SEDF (20010027002).; In this paper, the authors study the boundedness of the operator [μΩ,b], the commutator generated by a function b ∈ Lipβ(Rn)(0 <β≤1) and the Marcinkiewicz integrals μΩ, on the classical Hardy spaces and the He...; 关键词：Marcinkiewicz integral COMMUTATOR Lipschitz space Hardy space Herz space atom

国家重点基础研究发展计划(G19990751)