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On the weak convergence of super-Brownian motion with immigration

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Science china Mathematics 2009年第9期52卷 1875-1886页

作者： ZHANG Mei school of mathematical sciences, beijing normal university. beijing 100875. china school of mathematical sciences Beijing Normal University Beijing China

We prove fluctuation limit theorems for the occupation times of super-Brownian motion with immigration. The weak convergence of the processes is established, which improves the results in references. The limiting proc... 详细信息

关键词： super-Brownian motion with immigration occupation time process central limit the-orem tightness

Some scaled limit theorems for an immigration super-Brownian motion

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Science china Mathematics 2008年第2期51卷 203-214页

作者： ZHANG Mei school of mathematical sciences,beijing normal university.beijing 100875.china school of mathematical sciences Beijing Normal University Beijing China

In this paper,the small time limit behaviors for an immigration super-Brownian motion are studied,where the immigration is determined by Lebesgue *** first prove a functional central limit theorem,and then study the l... 详细信息

关键词： super-Brownian motion with immigration functional central limit theorem large deviation moderate deviation

Multipliers and Herz type spaces

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Science china Mathematics 2008年第10期51卷 1919-1936页

作者： LU ShanZhen school of mathematical sciences, beijing normal university. beijing 100875. china school of mathematical sciences Beijing Normal University Beijing China

Hrmander condition for boundedness of multiplier operators will be replaced by a weaker condition described by certain weighted or non-weighted Herz spaces. Some results on boundedness of multiplier operators are then established. As direct corollaries of main theorems in this paper, several celebrated results on boundedness of multiplier operators will be improved or deduced.

关键词： multiplier Herz space Herz type Hardy space

Commutators of pseudo-differential operators

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Science china Mathematics 2008年第3期51卷 453-460页

作者： LIN Yan school of mathematical sciences, beijing normal university. beijing 100875. china school of mathematical sciences Beijing Normal University Beijing China

In this paper, the boundedness of commutators generated by pseudo-differential operators and BMO functions is discussed on Lebesgue spaces.

关键词： pseudo-differential operator BMO function commutator Lebesgue space

Hausdorff measures of the image, graph and level set of bifractional Brownian motion

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Science china Mathematics 2010年第11期53卷 2973-2992页

作者： LUAN NaNa school of mathematical sciences, beijing normal university. beijing 100875. china school of mathematical sciences Beijing Normal University Beijing China

Let BH,K = {BH,K(t), t ∈ R+} be a bifractional Brownian motion in Rd. This process is a selfsimilar Gaussian process depending on two parameters H and K and it constitutes a natural generalization of fractional Brownian motion (which is obtained for K = 1). The exact Hausdorff measures of the image, graph and the level set of BH,K are investigated. The results extend the corresponding results proved by Talagrand and Xiao for fractional Brownian motion.

关键词： bifractional Brownian motion self-similar Gaussian processes image graph level set local time Hausdorff dimension Hausdorff measure

Boundedness of Commutators with Lipschitz Functions in Non-homogeneous Spaces

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Chinese Annals of Mathematics,Series B 2007年第1期28卷 67-80页

作者： Xiaoli FU Yan MENG Dachun YANG school of mathematical sciences Beijing Normal University Beijing 100875 China school of Information Renmin University Beijing 100872 China Corresponding author. school of mathematical sciences Beijing Normal University Beijing 100875 China

在内在的措施是仅仅满足一些生长状况的非否定的 Radonmeasure 的假设下面，作者与包括 Calderon-Zygmundoperators 和 Lipschitz 功能作为例子产生的整流器的 Lipschitz 功能为整流器的一个班证明那，他们在 Lebesgue 空格或 Hardyspac... 详细信息

在内在的措施是仅仅满足一些生长状况的非否定的 Radonmeasure 的假设下面，作者与包括 Calderon-Zygmundoperators 和 Lipschitz 功能作为例子产生的整流器的 Lipschitz 功能为整流器的一个班证明那，他们在 Lebesgue 空格或 Hardyspace H^1 的围住的海角(μ)等价于他们满足的一些端点估计。甚至当内在的措施μ是 d 维的 Lebesgue 措施时，这结果是新的。

关键词：换向器 Lipschitz函数非均匀空间 Lebesgue空间 Hardy空间

On Completeness and Minimality of Random Exponential System in a Weighted Banach Space of Functions Continuous on the Real Line

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Chinese Annals of Mathematics,Series B 2006年第3期27卷 303-310页

作者： Zhiqiang GAO Guantie DENG school of mathematical sciences Beijing Normal University Beijing 100875 China school of mathematical sciences Beijing Normal University Beijing 100875 China.

在这篇论文，在在为凸的非否定的重量的真实的线上连续的复杂功能的一个加权的 Banach 空格的某随机的指数的系统的完全性和 minimality 性质被学习。结果可以被看作概率的版本 ofMalliavin “ s 古典结果。

关键词：最小限度随机指数多项式复杂函数 Banach空间

On the stability of diffusion processes with state-dependent switching

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Science china Mathematics 2006年第9期49卷 1258-1274页

作者： XI Fubao & ZHAO Liqin Department of Mathematics, beijing Institute of Technology, beijing 100081, china school of mathematical sciences, beijing normal university. beijing 100875. china Department of Mathematics Beijing Institute of Technology Beijing China school of mathematical sciences Beijing Normal University Beijing China

In this paper we consider the stability for diffusion processes with state-dependent switching. We first prove their Feller continuity by the coupling methods. Furthermore, we also prove their strong Feller continuity and their exponential ergodicity under some reasonable conditions. Finally, we append a very brief discussion about the regularity of these processes.

关键词： Feller continuity, coupling, strong Feller continuity, exponential ergodicity,state-dependent switching.

TRANSPORTATION INEQUALITIES FOR WEAKLY DEPENDENT SEQUENCES

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Acta Mathematica Scientia 2011年第4期31卷 1494-1502页

作者：马宇韬 school of mathematical sciences Beijing Normal University

In [3], they gave necessary and sufficient condition for T 1 C and then as applications T 1 C for weakly dependent sequences was established. In this note, based on Gozlan-L′eonard characterization for W 1 H -inequal... 详细信息

关键词： W 1 H inequality T p (C)-inequality weakly dependent sequences tensorization