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国家自然科学基金(10771054): 作品数：16被引量：24H指数：3; 导出分析报告; 相关作者：马柏林周疆江寅生陈金阳李亮更多>>; 相关机构：湖南大学新疆大学嘉兴学院伊犁师范学院更多>>; 相关期刊：《Acta Mathematica Scientia》《数学物理学报（A辑）》《陕西师范大学学报（自然科学版）》《理论数学》更多>>; 相关主题：COMMUTATOR交换子COMMUTATORSROUGHKERNELS更多>>; 相关领域：理学电气工程机械工程天文地球更多>>

ROUGH MULTIPLE SINGULAR INTEGRALS ALONG HYPERSURFACES: 《Acta Mathematica Scientia》2011年第5期2081-2098,共18页邓浏睿李中凯马柏林伍火熊; Supported by the NSFC (10771054, 10971141, 11071200);the NFS of Beijing (1092004);the NFS of Fujian Province (2010J01013); In this paper, the authors study the mapping properties of singular integrals on product domains with kernels in L（log＋L）ε（Sm-1 × Sn-1）（ε = 1 or 2） supported by hyper-surfaces. The Lp bounds for such singul...; 关键词：multiple singular integral Marcinkiewicz integral maximal function HYPERSURFACE rough kernelε

Commutators of Weighted Lipschitz Functions and Multilinear Singular Integrals with Non-Smooth Kernels被引量：3: 《Applied Mathematics(A Journal of Chinese Universities)》2011年第3期353-367,共15页LIAN Jia-li MA Bo-lin WU Huo-xiong; Supported by the National Natural Science Foundation of China (10771054,11071200);the NFS of Fujian Province of China (No. 2010J01013); This paper is devoted to studying the commutators of the multilinear singular integral operators with the non-smooth kernels and the weighted Lipschitz functions. Some mapping properties for two types of commutators o...; 关键词：COMMUTATOR multilinear singular integral non-smooth kernel weighted Lipschitz function weights.

Lipschitz型Marcinkiewicz交换子的弱Herz估计: 《数学物理学报（A辑）》2011年第4期1115-1121,共7页陈金阳李亮马柏林; 国家自然科学基金(10771054);湖北省教育厅青年项目(Q20102508);湖北师范学院人才引进项目(2008F08);湖北师范学院创新团队项目;新疆高校科研计划项目(XJEDU2008S58)资助; 该文证明了一类粗糙核Marcinkiewicz积分与Lipschitz函数生成的交换子在Herz-Hardy空间到弱Herz空间中的有界性.; 关键词：MARCINKIEWICZ积分 LIPSCHITZ函数弱HERZ空间

Morrey型空间上的禁止类双线性拟微分算子: 《数学物理学报（A辑）》2011年第2期335-342,共8页周疆曹勇辉马柏林; 国家自然科学基金(10771054,10861010);新疆大学院校联合项目(08010608,BS090101)资助; 作者证明了禁止类双线性拟微分算子在乘积型的Morrey型Sobolev空间与Morrey型Besov空间上有界.; 关键词：MORREY空间拟微分算子禁止符号 BESOV空间

Multilinear commutators of BMO functions and multilinear singular integrals with non-smooth kernels被引量：8: 《Applied Mathematics(A Journal of Chinese Universities)》2011年第1期109-120,共12页LIAN Jia-li LI Ji WU Huo-xiong; Supported by the National Natural Science Foundation of China (10771054, 10771221, 11071200);the Youth Foundation of Wuyi University (No. xq0930); This paper is concerned with certain multilinear commutators of BMO functions and multilinear singular integral operators with non-smooth kernels. By the sharp maximal functions estimates, the weighted norm inequaliti...; 关键词：Multilineav operator COMMUTATOR non-smooth kernel sharp maximal function weighted norminequality.

θ型Calderon-Zygmumd型算子及其交换子在非齐型Morrey空间中的有界性: 《理论数学》2011年第2期119-123,共5页陈金阳马柏林; 国家自然科学基金(10771054);湖北省教育厅青年项目(Q20102508);湖北师范学院人才引进项目(2008F08);湖北师范学院创新团队项目。; 本文主要研究非齐型Morrey空间中的θ型Calderon-Zygmumd算子及其交换子的有界性,从而推广了已有结果。; 关键词：非双倍测度 θ型Calderon-Zygmumd型算子 MORREY空间 RBMO()

常数磁场中薛定谔算子的黎斯平均的L^2有界性估计(英文): 《经济数学》2010年第4期28-32,共5页邓浏睿马柏林; 国家自然科学基金资助项目(10771054);湖南省自然科学基金资助项目(09JJ5002); 为了研究常数磁场下的薛定谔算子的黎斯平均L2有界性问题,本文在Stein研究的Fowrier变换的工作基础上,通过研究Mpf(x),得到所要的估计.; 关键词：磁场薛定谔算子谱函数黎斯平均

Estimates of commutators for multilinear operators on Herz-type spaces被引量：1: 《Applied Mathematics(A Journal of Chinese Universities)》2010年第2期177-184,共8页ZHOU Jiang CAO Yong-hui LI Liang; Supported by the National Natural Science Foundation of China(10771054, 10861010);the Scientific Re-search Program of Institutions of Higher Education of XinJiang(2008S58);the Natural Science Fund of Xinjiang University(YX080106, BS090101); In this paper, the boundedness of mulitilinear commutator [-b,T] on Herz-type space is considered, where T is a standard Calderon-Zygmund singular operator and -b ∈ （BMO（Rn））m.; 关键词：Multilinear Calderdn-Zygmund singular integral COMMUTATOR Herz-type space central atom.

Multi-parameter Triebel-Lizorkin and Besov Spaces Associated with Flag Singular Integrals被引量：4: 《Acta Mathematica Sinica,English Series》2010年第4期603-620,共18页Yong DING Guo Zhen LU Bo Lin MA; supported partly by NSF of China (No. 10571015);SRFDP of China (No. 20050027025);supported by the U.S. NSF (Grant DMS No. 0500853);supported partly by NSF of China (No. 10771054);supported by NSF of China (No, 10811120558); Though the theory of one-parameter Triebel-Lizorkin and Besov spaces has been very well developed in the past decades, the multi-parameter counterpart of such a theory is still absent. The main purpose of this paper i...; 关键词：flag singular integrals multiparameter Triebel-Lizorkin spaces discrete Calderdn repro- ducing formulas discrete Littlewood-Paley-Stein analysis

On Rough Marcinkiewicz Integrals along Surfaces: 《Acta Mathematica Sinica,English Series》2010年第4期717-730,共14页Huo Xiong WU Jian Kai XU; supported by the NSF of China (Grant Nos. 10571122 and 10771054);the NSF of Fujian Province of China (Grant No. Z0511004); In this paper, the authors establish the LP-mapping properties of certain classes of Marcinkiewicz integral operators along surfaces with rough kernels. The results in this paper essentially extend as well as improve ...; 关键词：Marcinkiewicz integrals SURFACES maximal operator Hardy space rough kernel

国家自然科学基金(10771054)