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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 university,{2., China 2.School of Sciences, Anhui university of Science and Technology, Huainan 2.2.01, China department of Mathematics Shantou University Shantou China School of Sciences Anhui University of Science and Technology Huainan 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

Flat Space-Time and Motion in Gravitational Field

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Journal of Systems Engineering and Electronics 1995年第4期6卷 273-284页

作者： Zhang Junhao Chen Xiang (department of physics,{2. shantou, Guangdong 515063, P. R. China) department of physics Shantou University Shantou Guangdong 515063 P. R. China

Two fundamental hypotheses of special relativistic gravitational theory are: (1) the equivalence of gravitational mass and inertial mass, (2. the equation of the gravitational tensor potential in linear approximation. Main results: (1) the values of the planetary perihelion shill, and the angle of deflection of light are the same as those of general relativity. The value of the red shill is consistent with the experiment. One cannot use these experimental values to judge whether space-time is curved. (2. In GP-B experiment, the gyroscope will be acted on by the additional gravitational fields due to the Earth's spin (S) and the orbital motion of satellite (L). The average precession rates are , where β and δ are the gyroscope's polar angles, (S) and (G) designate values deduced from special and general relativity, respectively. The GP-B experiment is the first one to judge whether space-time is flat.

关键词： Gravity Coupling coefficient Tensor potential Flat space-time.

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 {2. of Mathematics, Bejing Normal university, Beijing 100875, China Medical School Shantou University Shantou China department of Mathematics Bejing Normal University Beijing 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.

Raising approximation order of refinable vector by increasing multiplicity

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Science China Mathematics 2006年第1期49卷 86-97页

作者： YANG Shouzhi & PENG Lizhong department of Mathematics, shantou university,{2., China LMAM, School of Mathematical Sciences, Peking university, Beijing 100871, China department of Mathematics Shantou University Shantou China LMAM School of Mathematical Sciences Peking University Beijing China

An algorithm is presented for raising an approximation order of any given orthogonal multiscaling function with the dilation factor a. Let φ(x) = [φ1(x),φ2.x),…,φr(x)]T be an orthogonal multiscaling function with the dilation factor a and the approximation order m. We can construct a new orthogonal multiscaling function φnew(x) = [ φT(x). f3r+1(x),φr+2.x),…,φr+s(x)}T with the approximation order m + L(L ∈ Z+). In other words, we raise the approximation order of multiscaling function φ(x) by increasing its multiplicity. In addition, we discuss an especial setting. That is, if given an orthogonal multiscaling function φ(x) = [φ1 (x), φ2.x), …, φr(x)]T is symmetric, then the new orthogonal multiscaling function φnew(x) not only raise the approximation order but also preserve symmetry. Finally, some examples are given.

关键词： orthogonal, multiscaling functions, approximation order, symmetry.

Multi-parameter infinite-dimensional(r,δ)-OU process

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Chinese Science Bulletin 1999年第5期44卷 418-423页

作者： WANG ZikunInstitute of Mathematics, shantou university, shantou 515063, China {2. of Mathematics, Beijing Normal university, Beijing 100875, China Institute of Mathematics Shantou University Shantou China department of Mathematics Beijing Normal University Beijing China

The definition of n-parameter infinite-dimensional (r, δ) -Ornstein-Uhlenbeck process {X_t (·)}((r,δ)-OUP_n~∞ for short) is given. The absolute continuity of distribution μ_t of X_t(·) and the limit of X_t(·) w... 详细信息

关键词： multi-parameter (r δ)-OUPn∞ absolute continuity in hierarchy.

Central limit theorem for the occupation time of catalyticsuper-Brownian motion

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Chinese Science Bulletin 1998年第24期43卷 2035-2040页

作者： HONG Wenming department of Mathematics, Beijing Normal university, Beijing 100875, China Corresponding address: Institute of Mathematics,{2., shantou 515063, China department of Mathematics Beijing Normal University Beijing China

The catalytic super_Brownian motion has been considered. If both the catalytic medium process Q and CSBM started with Lebesgue measure λ, the central limit theorem for occupation time of CSBM has been obtained in dim... 详细信息

关键词： branching rate functional Brownian collision local time catalytic super_Brownian motion occupation time central limit theorem.

An asymptotic result of super-Brownian motion on hyperbolic space

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Chinese Science Bulletin 1997年第15期42卷 1240-1244页

作者： TANG Jiashandepartment of Mathematics, Beijing Normal university, Beijing 100875, China Institute of Mathematics,{2., shantou 515063, China department of Mathematics Beijing Normal University Beijing China Institute of Mathematics Shantou University Shantou China

SUPERPROCESS is one kind of measure-valued branching Markov processes. In the recentdecades many results of superprocesses on Euclidean spaces and on general abstract spaces havebeen obtained, but there is only little work on Riemannian manifold. In this note, wewill consider the super-Brownian motions on the hyperbolic space of dimension d and give anasymptotic result of this process (see Corollary 1 below). Iscoe investigated a similar prob-

关键词： hyperbolic space radial super-Brownian motion hitting probability asymptotic.

A Fixed Point Theorem and an Equilibrium Point of an Abstract Economy in H-spaces

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Acta Mathematicae Applicatae Sinica 2003年第3期19卷 425-430页

作者： Ji-cheng Houdepartment of Mathematics, shantou university,{2., ChinaCorrespondence address: department of Mathematics and Information Science, Yantai university, Yantai2.4005, China department of Mathematics Shantou University Shantou China

In this note we first prove a fixed point theorem in H-spaces which unities and extends the corresponding results in [6] and [9]. Then, by applying the fixed point theorem, we prove an existence theorem of an equilibr... 详细信息

关键词： H-space fixed points abstract economy non-compact domain Nash equilibria compactly open lower sections

A New Solution to the Inverse Position Analysis of the Redundant Serial Robot

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Journal of Shanghai Jiaotong university(Science) 2010年第5期15卷 610-614页

作者：赵永杰董兴建 department of Mechatronics Engineering Shantou University shantou Institute for Light Industrial Equipment Research State Key Laboratory of Mechanical System and Vibration Shanghai Jiaotong University

A new solution to the inverse position analysis of the redundant serial robot is *** inverse position analysis problem of the redundant serial robot is transformed into a minimization problem and then the optimization method is adopted to solve the nonlinear least square problem with the analytic form of a new Jacobi *** this way,the inverse solution of the redundant serial robot can be searched out quickly under the desired precision when the positions of the three non-collinear end effector points are *** inverse position analysis of the 7R redundant serial robot is illustrated as an example and the simulation results verify the efficiency of the proposed algorithm.

关键词： inverse position analysis redundant serial robot optimization method