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On Holomorphic Automorphisms of a Class of Non-homogeneous Rigid Hypersurfaces in C^(N+1)

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Chinese Annals of mathematics,Series B 2010年第2期31卷 201-210页

作者： Qingyan WU department of mathematics,Linyi {2. university,Linyi 2.6005,Shandong,china department of mathematics,Zhejiang university,Hangzhou 31002.,china department of mathematics Linyi Normal University Linyi 276005 Shandong China department of mathematics Zhejiang University Hangzhou 310027 China

The author determines the real-analytic infinitesimal CR automorphisms of a class of non-homogeneous rigid hypersurfaces in CN+1 near the origin,and the connected component containing the identity transformation of al... 详细信息

关键词： Real-analytic infinitesimal CR automorphisms Rigid hypersurfaces Holomorphic automorphisms

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 {2. university,Harbin 150080,china ~2.department of mathematics,Northeast {2. university,Changchun 13002.,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(2.^2.1),where n=1/2.im 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

Empirical Likelihood for Semiparametric Varying-Coefficient Heteroscedastic Partially Linear Models

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Journal of Mathematical Research with Applications 2012年第1期32卷 95-107页

作者： Guo Liang FAN 1,2.Hong Xia XU 1,1.School of mathematics & Physics,anhui Polytechnic {2.,anhui 241000,P.R.china 2.department of mathematics,Tongji {2.,Shanghai 2.0092.P.R.china School of mathematics & Physics Anhui Polytechnic University Anhui 241000

Consider the semiparametric varying-coefficient heteroscedastic partially linear model Y i = Xτiβ + Zτiα(Ti) + σiei,1 ≤ i ≤ n,where σ 2.i = f(Ui),β is a p × 1 column vector of unknown parameter,(Xi,Zi,Ti,Ui) are random design points,Y i are the response variables,α(·) is a q-dimensional vector of unknown functions,e i are random *** both cases that f(·) is known and unknown,we propose the empirical log-likelihood ratio statistics for the parameter β.For each case,a nonparametric version of Wilks' theorem is *** results are then used to construct confidence regions of the *** studies are carried out to assess the performance of the empirical likelihood method.

关键词： Empirical likelihood heteroscedastic partially linear model varying-coefficient model local linear method confidence region.

SINGLE BIRTH PROCESSES

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Chinese Annals of mathematics,Series B 1999年第1期20卷 77-82页

作者： CHEN MUFA(department of mathematics,Beijing {2. university,Beijing 100875,china) Beijing normal Univ Dept Math Beijing 100875 Peoples R China

The single birth process is a Markov chain, either time-continuous or time-discrete, valuedin the non-negative integers: the system jumps with positive rate from k to k + 1 but not tok +j for all j 2.(this explains the meaning of 'single birth') . However, there is no restrictionfor the jumps from k to k - j(1 j< k). This note mainly deals with the uniqueness problemfor the time-continuous processes with an extension: the jumps from k to k + 1 may also beforbidden for at most finite number of k. In both cases (time-continuous or -discrete), thehitting probability and the first moment of the hitting time are also studied

关键词： Markov chains Single birth process Uniqueness criterion

Strong uniqueness of best approximations in spaces of bounded linear operators

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Science china mathematics 2004年第3期47卷 339-351页

作者： LI Chong HE Jinsu department of mathematics, Zhejiang {2. Hangzhou 31002., china department of mathematics, Zhejiang normal {2. Jinhua 32.004, china 1. department of mathematics Zhejiang University 310027 Hangzhou China 2. department of mathematics Zhejiang Normal University 321004 Jinhua China

The present paper is concerned with problems of the strong uniqueness of the best approximation and the characterization of a uniqueness element in operator *** results on the strong uniqueness of the best approximation operatorfrom RS-sets are proved and the uniqueness element of a sun in the compactoperator space from c0 to c0 is characterized by the strict Kolmogorov's *** recent results due to Lewicki and others are extended and improved.

关键词： best approximation operator, RS-set, sun, strong uniqueness, uniqueness element.

Melatonin ameliorates experimental hepatic fibrosis induced by carbon tetrachloride in rats

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World Journal of Gastroenterology 2009年第12期15卷 1452-1458页

作者： Ru-Tao Hong,department of Geriatrics Medicine,The First Affiliated Hospital of anhui Medical {2.,Hefei 2.002.,anhui Province,china Ru-Tao Hong,Jian-Ming Xu,Qiao Mei,department of Gastroenterology,The First Affiliated Hospital of anhui Medical {2.,Hefei 2.002.,anhui Province,china The Key Laboratory of Digestive Diseases of anhui Province,Hefei 2.002.,anhui Province,china department of Gastroenterology The First Affiliated Hospital of Anhui Medical University Hefei 230022 Anhui Province China. xhkay@***

AIM:To investigate the protective effects of melatonin on carbon tetrachloride(CCl4)-induced hepatic fibrosis in experimental ***:All rats were randomly divided into normal control group,model control group treated with CCl4 for 12.wk,CCl4+NAC group treated with CCl4+NAC(100 mg/kg,i.p.)for 12.wk,CCl4+MEL-1 group treated with CCl4+melatonin(2.5 mg/kg)for 12.wk,CCl4+MEL-2.group treated with CCl4+ melatonin(5.0 mg/kg)for 12.wk,and CCl4+MEL-3 group treated with CCl4+melatonin(10 mg/kg).Rats in the treatment groups were injected subcutaneously with sterile CCl4(3 mL/kg,body weight)in a ratio of 2.3 with olive oil twice a *** in normal control group received hypodermic injection of olive oil at the same dose and frequency as those in treatment *** the end of experiment,rats in each group were anesthetized and *** and eosin(HE)staining and Van Gieson staining were used to examine changes in liver *** activities of alanine aminotransferase(ALT),aspartate aminotransferase(AST)and protein concentration weremeasured with routine laboratory methods using an ***(HYP)content in liver and malondialdehyde(MDA)and glutathione peroxidase(GPx)levels in liver homogenates were assayed by *** hyaluronic acid(HA),laminin(LN),and procollagenⅢN-terminal peptide(PⅢNP)were determined by ***:Pathologic grading showed that the fibrogenesis was much less severe in CCl4+MEL3 group than in model control group(u=2.172.P2.6.2. ±12..91 U/L vs 2.1.15±101.16 U/L and 178.67 ±103.14 U/L,P=0.02.,P=0.007;AST:431.00 ±166.35 U/L vs 32..2.±162.48 U/L and 2.2.42.±12..2. U/L,P=0.043,P=0.013).Similarly,the serum laminin(LN)and hyaluronic acid(HA)levels and hydroxyproli

关键词： Melatonin Hepatic fibrosis Oxidativestress Hyaluronic acid Laminin Malondialdehyde Glutathione peroxidase

The generalized Roper-Suffridge extension operator in Banach spaces (Ⅲ)

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Science china mathematics 2009年第11期52卷 2432-2446页

作者： ZHU YuCan1 & LIU MingSheng2.1 department of mathematics,Fuzhou {2.,Fuzhou 350002.china 2.department of mathematics,South china normal {2.,Guangzhou 510631,china 1. department of mathematics Fuzhou University Fuzhou 350002 China 2. department of mathematics South China Normal University Guangzhou 510631 China

Suppose that X is a complex Banach space with the norm ||·|| and n is a positive integer with dim X ≥n≥ 2. In this paper,we consider the generalized Roper-Suffridge extension operator Φn,β2.γ2....,βn+1,γn+1(f)... 详细信息

关键词： Roper-Suffridge extension operator biholomorphic starlike mapping almost spirallike mapping of type β and order α spirallike mapping of type β and order α

Degenerate Semilinear Eliptic Equations with Critical Exponent

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Communications in Mathematical Research 1999年第1期 76-84页

作者： Hu Maolin (department of mathematics,{2. university, Hefei,{2., 2.0039)

§１．ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｉｓｐａｐｅｒ，ｗｅａｒｅｉｎｔｅｒｅｓｔｅｄｉｎｔｈｅｅｘｉｓｔｅｎｃｅ，ｎｏｎｅｘｉｓｔｅｎｃｅｏｆｐｏｓｉｔｉｖｅａｎｄｍｕｌｔｉｐｌｅｓｏｌｕｔｉｏｎｓｔｏｔｈｅｐｒｏｂ... 详细信息

§１．ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｉｓｐａｐｅｒ，ｗｅａｒｅｉｎｔｅｒｅｓｔｅｄｉｎｔｈｅｅｘｉｓｔｅｎｃｅ，ｎｏｎｅｘｉｓｔｅｎｃｅｏｆｐｏｓｉｔｉｖｅａｎｄｍｕｌｔｉｐｌｅｓｏｌｕｔｉｏｎｓｔｏｔｈｅｐｒｏｂｌｅｍｏｆｄｅｇｅｎｅｒａｔｅｓｅ...

关键词： Degenerate Equation Critical Exponent Multiplicity of Solutions Positive Solution Nonexistence Result

Lipschitz spaces and Q_K type spaces

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Science china mathematics 2010年第3期53卷 771-778页

作者： LI Hao 1 , WULAN Hasi 1, & ZHOU JiZhen 1,2.1 department of mathematics, Shantou {2., Shantou 515063, china 2.School of Sciences, anhui {2. of Science and Technology, Huainan 2.2.01, china 1. department of mathematics Shantou University Shantou 515063 China2. School of Sciences Anhui University of Science and Technology Huainan 232001 China

If f(z) =Σ∞ n=0 anzn and g(z) =Σ∞n=0bnzn for functions f, g are analytic in the unit disc, the Hadamard products of f and g is defined by f * g = ∞ n=0 a n b n z n . In this paper, the Lipschitz spaces Λ(s, α) ... 详细信息

关键词： Q K type spaces Lipschitz spaces Hadamard products