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OPTIMIZATION OF ADAPTIVE DIRECT METHOD FOR APPROXIMATE SOLUTION OF INTEGRAL EQUATIONS OF SEVERAL VARIABLES

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Acta Mathematica Scientia 2004年第2期24卷 228-234页

作者：马万房艮孙 departmentofmathematics BeijingNormalUniversityBeijing100875China

This paper determines the exact error order on optimization of adaptive direct methods of approximate solution of the class of Fredholm integral equations of the second kind with kernel belonging to the anisotropic So... 详细信息

关键词： Integral equations direct methods anisotropic sobolev classes

CONTINUITY FOR MAXIMAL COMMUTATORS OF BOCHNER-RIESZ OPERATORS WITH BMO FUNCTIONS

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Acta Mathematica Scientia 2001年第3期21卷 339-349页

作者：江寅生唐林杨大春 department of mathematics Xinjiang University Urumqi 830046 China department of mathematics Beijing Normal University Beijing 100875 China

Let p is an element of (n/(n + 1), 1]. The authors investigate the (H-b(p)(R-n), L-p(R-n))-type and (H-b(p,infinity)(R-n), L-p,L-infinity(R-n))-type continuities for the maximal operators associated with the commutators of Bochner-Riesz operators with BMO(R-n) functions, where H-b(p)(R-n) and H-b(p,infinity)(R-n) are, respectively, the variants of the standard Hardy spaces and the standard weak Hardy spaces.

关键词： Bochner-Riesz operator BMO(R-n) commutator maximal operator Hardy space and weak Hardy space

APPLICATIONS OF HERZ-TYPE TRIEBEL-LIZORKIN SPACES

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Acta Mathematica Scientia 2003年第3期23卷 328-338页

作者：徐景实杨大春 department of mathematics Beijing Normal UniversityBeijing 100875China Department of MathematicsHunan UniversityChangsha 410082China department of mathematics Beijing Normal UniversityBeijing 100875China

In this paper, the authors first establish the connections between the Herz-type Triebel-Lizorkin spaces and the well-known Herz-type spaces; the authors then study the pointwise multipliers for the Herz-type Triebel-Lizorkin spaces and show that pseudo-differential operators are bounded on these spaces by using pointwise multipliers.

关键词： Herz-type space Triebel-Lizorkin space pointwise multiplier pseudodifferential operator maximal operator

SOME CENTRAL LIMIT THEOREMS FOR SUPER BROWNIAN MOTION

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Acta Mathematica Scientia 1999年第2期19卷 121-126页

作者：李增沪 department of mathematics Beijing Normal University Beijing 100875 China

The author proves a central limit theorem for the critical super Brownian motion, which leads to a Gaussian random field. In the transient case the limiting field is the same aa that obtained by Dawson (1977). In the recurrent case it is a spatially uniform field. The author also give a central limit theorem for the weighted occupation time of the super Brownian motion with underlying dimension number d less than or equal to 3, completing the results of Iscoe (1986).

关键词： super Brownian motion weighted occupation time central limit theorem

N-widths on the classes of multivariate bandlimited functions

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Progress in Natural Science:Materials International 2004年第10期14卷 23-26页

作者： FANG Gensun and LONG Jingfan (department of mathematics,beijing normal university,beijing100875,china) Received January30,2004 beijing normal Univ Dept Math Beijing 100875 Peoples R China

In this paper,the tight order on the n-widths of the classes of multivariate bandlimited functions in L p ( d ),1

关键词： n-width multivariate bandlimited function sampling theorem

Representation type of 0-Hecke algebras

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Science china mathematics 2011年第3期54卷 411-420页

作者： DENG BangMing1 & YANG GuiYu2,1department of mathematics, beijing normal university, beijing 100875, china 2School of Science, Shangdong university of Technology, Zibo 255049, china department of mathematics Beijing Normal University Beijing China School of Science Shangdong University of Technology Zibo China

In the present paper we determine the representation type of the 0-Hecke algebra of a finite Coxeter group.

关键词： Hecke代数类型群表示论数论

Weighted estimates for the multilinear singular integral operators with non-smooth kernels

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Science china mathematics 2011年第3期54卷 587-602页

作者： HU GuoEn1 & LU ShanZhen2 1department of Applied mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou 450002, china 2department of mathematics, beijing normal university, beijing 100875, china department of Applied mathematics Zhengzhou Information Science and Technology Institute Zhengzhou China department of mathematics Beijing Normal University Beijing China

In this paper, by sharp function estimates and certain weak type endpoint estimates, the authors establish some weighted norm inequalities with Ap weights for the multilinear singular integral operators with non-smoot... 详细信息

关键词：多线性奇异积分算子加权估计非平稳内核加权模不等式端点估计函数估计非光滑

AN ANZAHL THEOREM IN SINGULAR PSEUDO-SYMPLECTIC GEOMETRY OVER FINITE FIELDS

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Acta Mathematica Scientia 2002年第1期22卷 72-78页

作者：王恺顺魏鸿增张更生 department of mathematics Beijing Normal University Beijing 100875 China department of mathematics Hebei Normal University Shijiazhuang 050016 China

This paper obtains formulas for the number of subspaces of a given type contained in a given subspace in singular pseudo-symplectic geometry.

关键词： finite field subspace singular pseudo-symplectic geometry

Some Characterizations of Weighted Herz-type Hardy Spaces and Their Applications

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Acta Mathematica Sinica,English Series 1997年第1期13卷 45-58页

作者： Lu Shanzhen (department of mathematics,beijing normal university,beijing,100875,china)(E-mail:lusz@***)Yang Dachun (department of mathematics,beijing normal university,Beijin9,100875,china)(E-mail:dcyang@***) 北京师范大学数学系北京

In this paper,the authors first establish some new real-variable characterizations of Herz- type Hardy spaces Hqα,p（ω1;ω2）and HKqα,P（ω1;ω2）,where ω1,ω2 ∈A1-weight,1 详细信息

In this paper,the authors first establish some new real-variable characterizations of Herz- type Hardy spaces Hqα,p（ω1;ω2）and HKqα,P（ω1;ω2）,where ω1,ω2 ∈A1-weight,1

关键词： Herz space Herz-type Hardy space Potential operator