国家自然科学基金(11361020)

作品数：16被引量：75H指数：4
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Bochner-Lebesgue空间内的最佳同时逼近（英文）
《工程数学学报》2017年第5期563-570,共8页魏海花 徐景实 
The National Natural Science Foundation of China(11361020)
在本文中,我们研究了Bochner-Lebesgue空间内的相对于欧氏空间的Minkowski范数的最佳同时逼近.首先,给出了由距离函数表示的最佳同时逼近的刻画.然后,利用可测选择定理证明其函数取值于一个闭的可分子空间的Bochner-Lebesgue空间,其同...
关键词：Bochner-Lebesgue空间 同时可近性 最佳同时逼近 
Multilinear Calderon-Zygmund operators and their commutators with BMO functions in variable exponent Morrey spaces被引量：2
《Frontiers of Mathematics in China》2017年第5期1235-1246,共12页Wei WANG Jingshi XU 
The first author was supported by the TianYuan Special Funds of the National Natural Science Foundation of China （Grant No. 11426221） and the High Level Introduction of Talent Research Start-up Fund by Central South University of Forestory and Technology （Grant No. 1040212）; the second author was supported by the National Natural Science Foundation of China （Grant No. 11361020）.
The boundedness of multilinear Calderdn-Zygmund operators and their commutators with bounded mean oscillation （BMO） functions in variable exponent Morrey spaces are obtained.
关键词：Multilinear CalderSn-Zygmund operator bounded mean oscillation（BMO） function COMMUTATOR Morrey space variable exponent 
Banach空间值的变指标Lebesgue空间上的Calderón-Zygmund算子（英文）
《数学进展》2017年第3期441-452,共12页沈聪辉 徐景实 
supported by NSFC(No.11361020);the Natural Science Foundation of Hainan Province(No.20151010)
本文证明了带有满足H?rmander条件的算子核的向量值的Calderón-Zygmund算子在齐型的度量测度空间上的指标为全局log-H?lder连续的变指标Lebesgue空间上的有界性.作为应用,得到了向量值的Hardy-Littlewood极大算子在齐型的度量测度空间...
关键词：CALDERÓN-ZYGMUND算子 变指标 LEBESGUE空间 向量值 度量测度空间 
Molecular Characterization of Anisotropic Musielak–Orlicz Hardy Spaces and Their Applications被引量：2
《Acta Mathematica Sinica,English Series》2016年第11期1391-1414,共24页Bao De LI Xing Ya FAN Zun Wei FU Da Chun YANG 
partially supported by National Natural Science Foundation of China(Grant Nos.11461065,11161044,11571039 and 11361020);supported by Scientific Research Projects in Colleges and Universities in Xinjiang Uyghur Autonomous Region(Grant No.XJEDU2014S001);supported by National Natural Science Foundation of China(Grant No.11271175);partially supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20120003110003);the Fundamental Research Funds for Central Universities of China(Grant Nos.2013YB60and 2014KJJCA10)
Let A be an expansive dilation on Rn and φ ： Hn×[0, ∞）→[0, ∞） an anisotropic Musielak-Orlicz function. Let HAφ（R^n） be the anisotropic Hardy space of Musielak-Orlicz type defined via the grand maximal funct...
关键词：Anisotropic expansive dilation Muckenhoupt weight Musielak–Orlicz function Hardy space MOLECULE anisotropic Calderón–Zygmund operator 
Anisotropic Hardy-Lorentz spaces and their applications被引量：14
《Science China Mathematics》2016年第9期1669-1720,共52页LIU Jun YANG DaChun YUAN Wen 
supported by National Natural Science Foundation of China (Grant Nos. 11571039, 11361020 and 11471042)
Let p ∈(0, 1], q ∈(0, ∞] and A be a general expansive matrix on Rn. We introduce the anisotropic Hardy-Lorentz space H^(p,q)_A(R^n) associated with A via the non-tangential grand maximal function and then establish...
关键词：Lorentz space anisotropic Hardy-Lorentz space expansive matrix Calder′on reproducing formula grand maximal function atom molecule Calder′on-Zygmund operator 
Several equivalent characterizations of fractional Hajlasz-Morrey-Sobolev spaces被引量：2
《Applied Mathematics(A Journal of Chinese Universities)》2016年第3期343-354,共12页YUAN Wen LU Yu-feng YANG Da-chun 
supported by the National Natural Science Foundation of China(11471042,11361020 and 11571039);the Specialized Research Fund for the Doctoral Program of Higher Education of China(20120003110003);the Fundamental Research Funds for Central Universities of China(2014KJJCA10)
In this article, the authors establish several equivalent characterizations of fractional Hajlasz-Morrey-Sobolev spaces on spaces of homogeneous type in the sense of Coifman and Weiss.
关键词：Sobolev space Morrey space Morrey-Sobolev space Haj lasz gradient space of homogeneous type maximal operator 
Interpolation of Morrey-Campanato and related smoothness spaces被引量：19
《Science China Mathematics》2015年第9期1835-1908,共74页YUAN Wen SICKEL Winfried YANG DaChun 
supported by National Natural Science Foundation of China(Grant Nos.11471042,11171027 and 11361020);the Alexander von Humboldt Foundation;the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20120003110003);the Fundamental Research Funds for Central Universities of China(Grant Nos.2013YB60 and 2014KJJCA10)
We study the interpolation of Morrey-Campanato spaces and some smoothness spaces based on Morrey spaces, e. g., Besov-type and Triebel-Lizorkin-type spaces. Various interpolation methods, including the complex method,...
关键词：Morrey space Campanato space Besov-type space Triebel-Lizorkin-type space real and complex interpolation ±-method of interpolati 
Hardy spaces H^p over non-homogeneous metric measure spaces and their applications被引量：36
《Science China Mathematics》2015年第2期309-388,共80页FU Xing LIN Hai Bo YANG Da Chun YANG Dong Yong 
supported by National Natural Science Foundation of China(Grant Nos.11301534,11171027,11361020 and 11101339);Da Bei Nong Education Fund(Grant No.1101-2413002);the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20120003110003);the Fundamental Research Funds for Central Universities of China(Grant Nos.2012LYB26,2012CXQT09,2013YB60 and 2014KJJCA10)
Let(X,d,)be a metric measure space satisfying both the geometrically doubling and the upper doubling conditions.Let ρ∈(1,∞),0
关键词：non-homogeneous metric measure space ρ-weakly doubling measure Hardy space Campanato space Lipschitz space Calder′on-Zygmund operator atomic block molecular block 
变指标函数空间的进展被引量：3
《数学进展》2015年第1期1-22,共22页徐景实 
国家自然科学基金(No.11361020)
本文先综述(局部)Hardy-Littlewood极大算子,(变)分数阶积分算子在变指标Lebesgue空间上的有界性.然后综述了变指标空间的进展,如变指标Besov和Triebel-Lizorkin空间、Morrey型的变指标Besov和Triebel-Lizorkin空间、变指标Herz型的Beso...
关键词：函数空间 变指标 极大算子 分数次积分 度量测度空间 
POINTWISE MULTIPLIERS FOR LOCALIZED MORREY-CAMPANATO SPACES ON RD-SPACES被引量：2
《Acta Mathematica Scientia》2014年第6期1677-1694,共18页林海波 杨大春 
supported by the National Natural Science Foundation of China(11301534);the National Natural Science Foundation of China(11171027 and 11361020);Da Bei Nong Education Fund(1101-2413002);Chinese Universities Scientific Fund(2013QJ003);the Specialized Research Fund for the Doctoral Program of Higher Education of China(20120003110003);the Fundamental Research Funds for Central Universities of China(2012LYB26 and 2012CXQT09)
In this article, the authors characterize pointwise multipliers for localized MorreyCampanato spaces, associated with some admissible functions on RD-spaces, which include localized BMO spaces as a special case. The r...
关键词：RD-space pointwise multiplier localized Morrey-Campanato space BMO space 
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