云南高校图书馆联盟文献共享服务平台- 国家自然科学基金(11071200)

国家自然科学基金(11071200): 作品数：11被引量：16H指数：2; 导出分析报告; 相关作者：伍火熊刘风蓝森华赵夏婷曹木亮更多>>; 相关机构：厦门大学丽水学院中国人民解放军信息工程大学电子技术学院更多>>; 相关期刊：《Science China Mathematics》《Acta Mathematica Scientia》《中国科学：数学》《Acta Mathematica Sinica,English Series》更多>>; 相关主题：ROUGHKERNELSCOMMUTATORNON-SMOOTHCOMMUTATORS更多>>; 相关领域：理学电气工程天文地球更多>>

乘积空间上沿复合曲线的奇异积分与Marcinkiewicz积分(英文)被引量：1: 《数学进展》2014年第6期921-941,共21页蓝森华刘风伍火熊; Supported by NSFC(No.11071200);the NSF of Fujian Province of China(No.2010J01013);the NSF of Zhejiang Province of China(No.LY12A01011); 本文致力于研究混合齐性空间上沿复合曲线的多参数奇异积分和Marcinkiewicz积分.所考虑的复合曲线包含了R^m×R^n(m,n≥2)中的许多经典的曲线.在积分核满足L log^+L型最优尺寸条件下,这些算子的L^P有界性被建立.这些结果很大程度上推广...; 关键词：奇异积分 MARCINKIEWICZ积分极大算子混合齐性乘积空间

粗糙核抛物型奇异积分算子与外插: 《中国科学：数学》2014年第5期519-534,共16页刘风伍火熊; 国家自然科学基金(批准号:11071200和11371295)资助项目; 本文研究粗糙核抛物型奇异积分算子及其极大算子.借助精细的Fourier变换估计和LittlewoodPaley理论,并结合外插讨论,在积分核满足球面Hardy函数条件和相当弱的径向尺寸条件下,本文建立这些算子的Lp有界性.进一步,关于沿一般光滑曲面的...; 关键词：奇异积分极大算子混合齐性粗糙核外插

Rough singular integrals associated with surfaces of Van der Corput type被引量：2: 《Applied Mathematics(A Journal of Chinese Universities)》2014年第1期86-100,共15页LIU Feng WU Huo-xiong; Supported by the National Natural Science Foundation of China(11071200,11371295); In this paper, the authors establish the LV-mapping properties for a class of singular integrals along surfaces in Rn of the form {Ф（lul）u＇： u ε ]t^n} as well as the related maimal operators provided that the f...; 关键词：42B20 42B25 42B30 Singular integrals surfaces of Van der Corput type maximal operators Littlewood-Paley theory Fourier transform estimates

Multiple weighted estimates for commutators of multilinear fractional integral operators被引量：2: 《Science China Mathematics》2013年第9期1879-1894,共16页CHEN SongQing WU HuoXiong; National Natural Science Foundation of China (Grant No. 11071200);Natural Science Foundation of Fujian Province of China (Grant No. 2010J01013); Multilinear commutators and iterated commutators of multilinear fractional integral operators with BMO functions are studied. Both strong type and weak type endpoint weighted estimates involving the multiple weights f...; 关键词：multilinear fractional integrals COMMUTATORS maximal operators multiple weights A （ P q ） weighted norm inequalities

Rough Marcinkiewicz Integrals with Mixed Homogeneity on Product Spaces: 《Acta Mathematica Sinica,English Series》2013年第7期1231-1244,共14页Feng LIU Huo Xiong WU; Supported by National Natural Science Foundation of China (Grant No. 11071200);Natural Science Foundation of Fujian Province (Grant No. 2010J01013); In this paper, the parabolic Marcinkiewicz integral operators on the product spaces R^m × R^n（m, n ≥ 2） are studied. The LP-boundedness for such operators are established under rather weak size conditions of the k...; 关键词：Marcinkiewicz integrals non-isotropic dilations maximal functions rough kernels product spaces

Multilinear Calderón-Zygmund Operator on Products of Hardy Spaces被引量：2: 《Acta Mathematica Sinica,English Series》2012年第2期281-294,共14页Guo En HU Yan MENG; supported by National Natural Science Foundation of China(Grant No.10971228);supported by National Natural Science Foundation of China(Grant No.11071200); In this paper, the authors establish the boundedness of the multilinear Calderon-Zygmund operator from products of Hardy spaces into Hardy spaces; 关键词：Multilinear Calderdn-Zygmund operator Hardy space atomic decomposition

L^p Bounds for Singular Integrals with Rough Kernels on Product Domains被引量：1: 《Acta Mathematica Sinica,English Series》2012年第1期133-144,共12页Li MA Da Shan FAN Huo Xiong WU; Supported by National Natural Science Foundation of China (Grant Nos.10771054,10961003,11071200);Natural Science Foundation of Fujian Province of China (Grant No.2010J01013); This paper is concerned with singular integral operators on product domains with rough kernels both along radial direction and on spherical surface. Some rather weaker size conditions, which imply the L^P-boundedness ...; 关键词：Singular integral rough kernel product domain Littlewood-Paley theory Fourier transform estimate

带非卷积位相的粗糙核振荡奇异积分算子的加权L^P估计(英文): 《数学研究》2011年第4期325-335,共11页曹木亮伍火熊赵夏婷; supported by the NNSF of China(11071200);the NSF of Fujian Province of China(2010J01013); 文研究一类位相较多项式更一般的振荡奇异积分算子.在积分核Ω∈Llog^+L(S^(n-1))的条件下,建立了该类算子在加权L^P空间的有界性.; 关键词：振荡奇异积分粗糙核加权估计

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.

国家自然科学基金(11071200)