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国家自然科学基金(10931001): 作品数：36被引量：89H指数：7; 导出分析报告; 相关作者：陆善镇薛庆营高贵连谌稳固傅尊伟更多>>; 相关机构：北京师范大学北京应用物理与计算数学研究所浙江大学临沂大学更多>>; 相关期刊：《高校应用数学学报（A辑）》《Science China Mathematics》《数学年刊（A辑）》《Acta Mathematica Sinica,English Series》更多>>; 相关主题：COMMUTATORSCOMMUTATOR交换子DIMENSIONALHARDY_SPACE更多>>; 相关领域：理学建筑科学一般工业技术交通运输工程更多>>

Multiple weighted estimates for maximal vector-valued commutator of multilinear Calderon-Zygmund singular integrals被引量：2: 《Frontiers of Mathematics in China》2017年第3期531-558,共28页Dongxiang CHEN Shanzhen LU Suzhen MAO; This work was supported in part by the National Natural Science Foundation of China （Grant Nos. 10961015, 11261023, 10871024, 10931001, 11561057） and the Key Laboratory of Mathematics and Complex System, Ministry of Education, China.; This paper concerns with multiple weighted norm inequalities for maximal vector-valued multilinear singular operator and maximal commutators. The Cotlar-type inequality of maximal vector-valued multilinear singular in...; 关键词：Multilinear singular integrals vector-valued commutator multiple weight maximal functions

调和分析与信道编解码研究: 《中国科学：数学》2014年第5期447-456,共10页谌稳固吴国清; 国家自然科学基金(批准号:10931001,11371183,11271050和61003083);中国工程物理研究院科学技术发展基金(批准号:2012B0202024和2013B0403068);北京数学与信息交叉科学2011协同创新中心资助项目; 信道编码是通信系统的关键技术之一,其传统的理论工具是代数和有限域GF(p).本文在有噪信道的信道编码数学模型基础上,介绍基于调和分析的新型信道编码理论,分别应用调和分析的重要工具压缩感知与Walsh-Hadamard变换实现信道编解码和信...; 关键词：调和分析信道编码压缩感知 Walsh-Hadamard 变换

多线性分数次积分算子一般框架下的交换子的有界性: 《中国科学：数学》2014年第5期587-600,共14页薛庆营严井泉徐得三; 国家自然科学基金(批准号:10931001);中央高校基本科研业务费专项资金(批准号:2012CXQT09);教育部2013年新世纪优秀人才支持计划(批准号:NCET-13-0065)资助项目; 对任意给定的正整数m,Z+×{1,...,m}的任意一个有限子集S,定义一般化的多线性分数次积分算子的交换子Iα,→b,S(f)(x)=integral from n=(Rn)m to ∞[∏(i,j)∈S(bi(x)-bi(yj)(|x-y1|+···+|x-ym|)mn-α]multiply from j=1 to m[fj(yj)...; 关键词：多线性分数次积分算子交换子 Oscexp Lr空间

Best constants for Hausdorf operators on n-dimensional product spaces被引量：13: 《Science China Mathematics》2014年第3期569-578,共10页WU XiaoMei CHEN JieCheng; supported by National Natural Science Foundation of China(Grant Nos.11271330 and 10931001);Education Foundation of Zhejiang Province(Grant No.Y201225707);Natural Science Foundation of Zhejiang Province of China(Grant No.Y604563); In this paper, we study certain Hausdorff operators in the high-dimensional product spaces. We obtain their power weighted boundedness from Lp to Lq and characterize the necessary and sufficient conditions for their b...; 关键词：Hausdorff operators Hardy operators product spaces power weights

Hausdorf operators on Euclidean spaces被引量：5: 《Applied Mathematics(A Journal of Chinese Universities)》2013年第4期548-564,共17页CHEN Jie-cheng FAN Da-shan WANG Si-lei; Supported by the National Natural Science Foundation of China(11201103,10931001);the Zhejiang Natural Science Foundation of China(Y604563); Hausdorff operator is an important operator raised from the dilation on Euclidean space and rooted in the classical summability of number series and Fourier series. It is also connected to many well known operators in...; 关键词：Hausdorff operator Hardy operator BOUNDEDNESS

n维Hardy算子的一些新进展(英文)被引量：4: 《数学进展》2013年第6期737-747,共11页陆善镇; supported by the Key Laboratory on Mathematics and Complex System (at Beijing Normal University) from the Ministry of Education,China;supported by NSFC(No.10931001); 这篇综述文章概括了n维Hardy算子研究的一些新进展.它是基于作者及其合作者在近五年来研究成果之上的,也是作者在2012年5月20日至25日于南京举行的"调和分析及其应用"国际会议上所作的大会报告的内容.; 关键词：HARDY算子准确界交换子函数空间

强奇异Calderón-Zygmund积分及其交换子在Hardy型空间上的有界性: 《数学年刊（A辑）》2013年第3期313-326,共14页樊云阮建苗王梦; 国家自然科学基金(No.10871173,No.10931001,No.11101372,No.11226109);浙江省教育厅基金(No.Y201018469)的资助; 给出了局部Hardy空间h^p(R^n)(n/n+1; 关键词：分子分解强奇异Calderón-Zygmund积分交换子

Commutator of Hypersingular Integral with Rough Kernels on Sobolev Spaces: 《Acta Mathematica Sinica,English Series》2013年第6期1043-1054,共12页Yan Ping CHEN Yong DING Xin Xia WANG; supported by National Natural Science Foundation of China (Grant No. 10901017);Program for New Century Excellent Talents in University of China (Grant No. NCET-11-0574) ;the Fundamental Research Funds for the Central Universities;supported by National Natural Science Foundation of China (Grant No. 10931001);the Research Fund for the Dectoral Program of Higher Education of China (Grant No. 20090003110018);Program for Changjiang Scholars and Innovative Research Team in University of China; In this paper, the authors give the boundedness of the commutator of hypersingular integral T γ from the homogeneous Sobolev space Lpγ （Rn） to the Lebesgue space Lp（Rn） for 1; 关键词：Hypersingular integral paraproduct COMMUTATOR Sobolev space

λ-Central BMO Estimates for Commutators of Multilinear Maximal Operators被引量：2: 《Acta Mathematica Sinica,English Series》2013年第4期729-742,共14页Zeng Yan SI Qing Ying XUE; supported by Mathematical Tianyuan Foundation of China(Grant No.11226102);Doctoral Foundation of He'nan Polytechnic University(Grant No.B2012-055);supported by National Natural Science Foundation of China(Grant No.10931001);Beijing Natural Science Foundation(Grant No.1102023);Program for Changjiang Scholars and Innovative Research Team in University; The authors establish A-central BMO estimates for commutators of maximal multilinear Calderon-Zygmund operators TIIb and multilinear fractional operators Ia,b on central Morrey spaces respectively. Similar results sti...; 关键词：λ-Central BMO space central Morrey spaces maximal operators

阻尼波动方程在模空间上的一些估计被引量：1: 《中国科学：数学》2013年第4期355-364,共10页陈杰诚范大山张纯洁; 国家自然科学基金(批准号:10931001;10871173;11026104和11201103)资助项目; 本文研究分数次阻尼波动方程解在模空间上的估计及相应的时空估计,作为应用,我们将得到小初值条件下一类Cauchy问题的全局解.; 关键词：阻尼波动方程模空间全局解

国家自然科学基金(10931001)