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Bounded Projections and Duality on Spaces of Holomorphic Functions in the Unit Ball of (?)~n

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Acta Mathematica Sinica,English Series 1995年第1期11卷 29-36页

作者： Ren Fuyao department of mathematics Fudan university Shanghai,200433 china Xiao Jianbin department of mathematics Hunan normal university Changsha,410081 china harm.showa-u.ac.jp

In this paper three Banach spaces A(ф),A(ф)and A~1(ф)of functions holomor- phic in the unit ball B of ■~n are *** exhibit bounded projections from C(B)onto A(ф),from L~1(B)onto A~1(ф),and from L~∞(B)onto A(ф).... 详细信息

关键词： Bounded Projections and Duality on Spaces of Holomorphic Functions in the Unit Ball of Math Ball

Superprocesses arising from interactive stochastic flows

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Science china mathematics 2006年第4期49卷 451-476页

作者： YAN Guojun & LI Zhanbing Medical School, Shantou university, Shantou 515063, china department of mathematics, Bejing normal university, Beijing 100875, china Medical School Shantou University Shantou 515063 China department of mathematics Bejing Normal University Beijing 100875 China

In this paper, we give a unified construction for superprocesses with dependent spatial motion constructed by Dawson, Li, Wang and superprocesses of stochastic flows constructed by Ma and Xiang. Furthermore, we also g... 详细信息

关键词： superprocess, interactive stochastic flows, martingale problem, dual processes.

REFINED CONNECTIVITY PROPERTIES OF ABELIAN CAYLEY GRAPHS

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Chinese Annals of mathematics,Series B 1998年第4期19卷 409-414页

作者： LI QIAOLIANG (department of Applied mathematics, Shanghai Jiaotong university, Shanghai 200030, chinaPresend in department of mathematics, Hunan normal university, Changsha 410082, china.)LI QIAO (department of Applied mathematics, Shanghai Jiaotong Univ Shanghai Jiao Tong Univ Dept Appl Phys Shanghai 200030 Peoples R China Hunan normal Univ Dept Math Changsha 410082 Peoples R China

Restricted edge connectivity of a graph G is defined to be the minimum size |U| of a set U of edges such that G-U is disconnected and G-U contains no trivial component K1. The high order edge connectivity Ni, i1, is the number of edge outsets of size i. TO determine all Ni, i 1, for a general graph is NP-hard. In this paper, the authors evaluated the restricted edge connectivity and the high order edge connectivity Ni, 1 i -1, for any connected Abelian Cayley graphs explicitly.

关键词： Abelian Cayley graph Restricted edge connectivity High order edge connectivity

Proof of inseparable prime C~*-algebras A with RR(A)=0 being primitive C~*-algebras

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Chinese Science Bulletin 1999年第8期44卷 688-690页

作者： ZHANG Lunchuan and MA Jipudepartment of mathematics , Beijing normal university , Beijing 100875, china department of mathematics , Nanjing university, Nanjing 210093, china department of mathematics Beijing Normal University Beijing China department of mathematics Nanjing University Nanjing China

First, that prime C~* -algebras with countable primitive ideals are all primitive C*-algebras is proved. Then the proof that prime C~* -algebras with property RR(A) = 0 are all primitive C~*-algebras is given.

关键词： prime C~*-algebras primitive C~*-algebras hereditary C~*-algebras open projection and close projection.

Dimension Properties of Sample Paths of Self-Similar Processes

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Acta Mathematica Sinica,English Series 1994年第3期10卷 289-300页

作者： Xiao Yimin department of mathematics Wuhan university Wuhan,430072 china Lin Huonan department of mathematics Fujian normal university Fuzhou,350007 china 1. department of mathematics Wuhan University 430072 Wuhan China 2. department of mathematics Fujian Normal University 350007 Fuzhou China

The Hansdorff dimensions of the image and the graph of random fields are given under general *** results can be used to a wider class of self-similar random fields and processes,including Brownian motion,Brownian shee... 详细信息

关键词： Dimension Properties of Sample Paths of Self-Similar Processes

Smoothness for the collision local times of bifractional Brownian motions

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Science china mathematics 2011年第9期54卷 1859-1873页

作者： SHEN GuangJun 1,2,& YAN LiTan 3 1 department of mathematics,East china university of Science and Technology,Shanghai 200237,china 2 department of mathematics,Anhui normal university,Wuhu 241000,china 3 department of mathematics,Donghua university,Shanghai 201620,china 1. department of mathematics East China University of Science and Technology Shanghai 200237 China2. Department of Mathematics Anhui Normal University Wuhu 241000 China3. Department of Mathematics Donghua University Shanghai 201620 China

Let B^Hi,Ki ={ Bt^Hi,Ki, t ≥ 0}, i= 1, 2 be two independent bifractional Brownian motions with respective indices Hi ∈ （0, 1） and K∈ E （0, 1]. One of the main motivations of this paper is to investigate f0^Tδ（Bs^H1 ,K1 - the smoothness of the collision local time, introduced by Jiang and Wang in 2009, IT = f0^T δ（Bs^H1,K1）ds, T 〉 0, where 6 denotes the Dirac delta function. By an elementary method, we show that iT is smooth in the sense of the Meyer-Watanabe if and only if min{H-1K1, H2K2} 〈-1/3.

关键词： bifractional Brownian motion collision local time intersection local time chaos expansion

The Existence of Periodic Orbits for Nonlinear Impulsive Differential Systems

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Communications in Nonlinear Science and Numerical Simulation 1999年第1期4卷 50-53页

作者： Xilin FU Jiangang QI and Yansheng LIU (department of mathematics, Shandong normal university, Jinan 250014, china) department of mathematics Shandong Normal University Jinan 250014 China

In this paper, we gave the necessary and sufficient condition for the existence of the periodic solutions of nonlinear impulsive differential systems by using a special function and study the stable properties of suc... 详细信息

关键词： impulsive differential equation periodic orbit stable

A family of transitive modular Lie superalgebras with depth one

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Science china mathematics 2007年第10期50卷 1451-1466页

作者： Wen-de LIU~(1+) Yong-zheng ZHANG~2 ~1 department of mathematics,Harbin normal university,Harbin 150080,china ~2 department of mathematics,Northeast normal university,Changchun 130024,china 1. department of mathematics Harbin Normal University Harbin 150080 China 2. department of mathematics Northeast Normal University Changchun 130024 China

The embedding theorem is established for Z-graded transitive modular Lie superalgebras g■■■(g-1)satisfying the conditions: (i)g0■■(g-1) and g0-module g-1 is isomorphic to the natural■(g-1)-module; (ii)dim g1=2/3n(2n^2+1),where n=1/2dim g-1. In particular,it is proved that the finite-dimensional simple modular Lie superalgebras satisfying the conditions above are isomorphic to the odd Hamiltonian *** restricted Lie superalgebras are also considered.

关键词： flag, divided power algebra, modular Lie superalgebra, embedding theorem

Schwarz-Pick estimates for positive real part holomorphic functions on unit ball and polydisc

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Science china mathematics 2010年第4期53卷 1017-1024页

作者： LIU Yang 1,& CHEN ZhiHua 2 1 department of mathematics,Zhejiang normal university,Jinhua 321004,china 2 department of mathematics,Tongji university,Shanghai 200092,china 1. department of mathematics Zhejiang Normal University Jinhua 321004 China2. Department of Mathematics Tongji University Shanghai 200092 China

We give higher order derivatives Schwarz-Pick estimates for all positive real part holomorphic functions on Bn and D n,and generalize early work on Schwarz-Pick estimate of higher order derivatives for holomorphic fun... 详细信息

关键词： Schwarz-Pick estimate holomorphic function Taylor expansion