国家自然科学基金(11261023)

作品数：9被引量：4H指数：1
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相关作者：陈冬香李倩丽周文娟曹美阳更多>>
相关机构：江西师范大学更多>>
相关期刊：《Analysis in Theory and Applications》《Frontiers of Mathematics in China》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》更多>>
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Endpoint Estimates for Generalized Multilinear Fractional Integrals on the Non-homogeneous Metric Spaces
《Chinese Annals of Mathematics,Series B》2018年第4期721-738,共18页Jiecheng CHEN Xiaoli CHEN Fangting JIN 
supported by the National Natural Science Foundation of China(Nos.11271330,11261023,11461033,11401269);the Jiangxi Provincial Natural Science Foundation of China(No.20142BAB201003)
In this paper, some endpoint estimates for the generalized multilinear fractional integrals Ia,m on the non-homogeneous metric spaces are established.
关键词：Generalized multilinear fractional integrals Lipschitz space RBMO s-pace Morrey space Non-homogeneous metric space 
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 
L^p estimates for Riesz transform and their commutators associated with Schr?dinger type operator被引量：1
《Applied Mathematics(A Journal of Chinese Universities)》2016年第1期112-126,共15页CHEN Xiao-li CHEN Jie-cheng 
Supported by the National Natural Science Foundation of China(11261023,11401269,11461033);the Natural Science Foundation of Jiangxi Province(20142BAB201003)
. Let H2 = （-△）2 ＋ V2 be the Schr6dinger type operator, where V satisfies reverse HSlder inequality. In this paper, we establish the Lp boundedness for V2 H2- 1, H21 V2, VH2- 1/2 and Hfl/2V, and that of their comm...
关键词：Schrodinger type operator Bq class BMOL commutator. 
与Schrdinger算子相关的Riesz位势算子的交换子的有界性
《数学物理学报（A辑）》2016年第1期117-129,共13页陈冬香 周文娟 房裕达 
国家自然科学基金(11261023,11461033,11401269);江西省自然基金(20142BAB201003)资助~~
研究了当b∈BMO时,与Schrodinger算子L=-△＋V相关的Riesz位势算子的交换子[b,Iα-L]在Campanato型空间上的有界性,其中△是Laplace算子,V≠0是满足反向Holder不等式的非负函数.
关键词：交换子 BMO RIESZ位势 Schrdinger算子 Campanato型空间 
OPTIMAL SUMMATION INTERVAL AND NONEXISTENCE OF POSITIVE SOLUTIONS TO A DISCRETE SYSTEM
《Acta Mathematica Scientia》2014年第6期1720-1730,共11页陈晓莉 郑雄军 
supported by NNSF of China(11261023,11326092),NNSF of China(11271170);Startup Foundation for Doctors of Jiangxi Normal University;GAN PO 555 Program of Jiangxi;NNSF of Jiangxi(20122BAB201008)
In this paper, we are concerned with properties of positive solutions of the following Euler-Lagrange system associated with the weighted Hardy-Littlewood-Sobolev inequality in discrete form{uj =∑ k ∈Zn vk^q/（1 ＋ ...
关键词：summation optimal interval nonexistence weighted Hardy-Littlewood-Sobolev inequality 
一类满足L^r-H?rmander条件的奇异积分算子交换子的L^p有界性
《江西科学》2014年第1期8-10,25,共4页曹美阳 
国家自然科学基金项目(11261023);江西省自然科学基金项目(20122BAB201011)
对于一类满足L^r-Hrmander条件的奇异积分算子的交换子,证明了其sharp极大函数不等式。作为应用,得到了交换子在Lebesgue空间上的有界性。
关键词：交换子 奇异积分算子 sharp极大函数 
与非光滑核的奇异积分相关的Toeplitz算子的双权估计被引量：1
《数学物理学报（A辑）》2013年第6期1122-1132,共11页陈冬香 李倩丽 
国家自然科学基金(10961015,11261023);江西省自然科学基金(20122BAB201011);江西省教育厅基金(GJJ10397)资助
研究了与非光滑核的奇异积分算子和加权Lipschitz函数相关的的Toeplitz算子T_b的sharp极大函数的点态估计,并应用该估计证明了Toeplitz算子T_b是从L^p(ω)到L^q(ω^(1-q))上的有界算子.此外还建立了与非光滑核的奇异积分算子和加权BMO...
关键词：TOEPLITZ算子 加权Lipschitz空间 加权BMO空间 双权估计 
Weighted L^p Estimates for Maximal Commutators of Multilinear Singular Integrals
《Chinese Annals of Mathematics,Series B》2013年第6期885-902,共18页Dongxiang CHEN Jiecheng CHEN Suzhen MAO 
supported by the National Natural Science Foundation of China(Nos.10961015,11261023);the Jiangxi Natural Science Foundation of China(No.20122BAB201011);the Fund of Jiangxi Provincial Department of Education(Nos.GJJ10397,GJJ12203)
This paper is concerned with the pointwise estimates for the sharp function of two kinds of maximal commutators of multilinear singular integral operators T∑b^＊ and TПb^＊ which are generalized by a weighted BMO fu...
关键词：Weighted BMO space Maximal commutator Multilinear singular integral Sharp maximal function 
Two Weighted BMO Estimates for the Maximal Bochner-Riesz Commutator
《Analysis in Theory and Applications》2013年第2期120-127,共8页Dan Zou Xiaoli Chen Dongxiang Chen 
supported by the NNSF (10961015, 11261023) of China;the Jiangxi Natural Science Foundation of China (20122BAB201011), GJJ12203
In this note, the author prove that maximal Bocher-Riesz commutator Bδ,＊^b generated by operator Bδ,＊ and function b∈ BMO（ω） is a bounded operator from L^p（μ） into L^p（ν）, where w∈ （μν^- 1）^1/p,μ...
关键词：Bocher-Riesz operator COMMUTATOR weighted BMO（ω） space. 
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