共查询到20条相似文献,搜索用时 46 毫秒
1.
Applying the Riemann-Roch theorem,we calculate the dimension of a kind of mero- morphicλ-differentials' space on compact Riemann surfaces.And we also construct a basis of theλ-differentials' space.As the main result,the Cauchy type of integral formula on compact Riemann surfaces is established. 相似文献
2.
It is proved that every proper holomorphic self-map of a smooth bounded Reinhardt domain in ℂ2 is an automorphism.
The first author’s work was supported in part by the National Natural Science Foundation of China (Grant No. 10571135) and
the Doctoral Program Foundation of the Ministry of Education of China (Grant No. 20050240711) 相似文献
3.
The present paper first shows that, without any dependent structure assumptions for a sequence of random variables, the refined results of the complete convergence for the sequence is equivalent to the corresponding complete moment convergence of the sequence. Then this paper investigates the convergence rates and refined convergence rates (or complete moment convergence) for probabilities of moderate deviations of moving average processes. The results in this paper extend and generalize some well-known results. 相似文献
4.
Yen-Shung TSAI 《中国科学A辑(英文版)》2007,50(7):1026-1034
By means of further investigation of solid codes,the problem“Is every fd-domain uni- formly dense”proposed by Yuqi Guo,C.M.Reis and G.Thierrin in 1988 is solved in this paper. 相似文献
5.
Hong WenMing 《中国科学A辑(英文版)》2008,51(3):343-350
Moderate deviations for the quenched mean of the super-Brownian motion with random immigration are proved for 3≤d≤6, which fills in the gap between central limit theorem(CLT)and large deviation principle(LDP). 相似文献
6.
Wei Cheng 《中国科学A辑(英文版)》2009,52(8):1796-1800
We obtain a partial generalization of Birkhoff’s theorem of invariant curve to higher dimesional case in the context of viscosity
solutions of Hamilton-Jacobi equations, or weak KAM theory. This is a new approach after Herman’s proof.
This work was supported by the National Basic Research Program of China (Grant No. 2007CB814800) and National Natural Science
Foundation of China (Grant No. 10301012) 相似文献
7.
This paper investigates the asymptotic properties of the modified likelihood ratio statistic for testing homogeneity in bivariate normal mixture models with an unknown structural parameter. It is shown that the modified likelihood ratio statistic has χ22 null limiting distribution. 相似文献
8.
Jing-shi XU Department of Mathematics Hunan Normal University Changsha China 《中国科学A辑(英文版)》2007,50(3):361-376
The boundedness in Lebesgue spaces for commutators generated by multilinear singular integrals and RBMO(μ) functions of Tolsa with non-doubling measures is obtained, provided that‖μ‖=∞and multilinear singular integrals are bounded from L1(μ)×L1(μ)to L1/2,∞(μ). 相似文献
9.
An algebraic structure of discrete zero curvature equations is established for integrable coupling systems associated with semi-direct sums of Lie algebras. As an application example of this algebraic structure, a τ-symmetry algebra for the Volterra lattice integrable couplings is engendered from this theory. 相似文献
10.
Let ƒ be a transcendental meromorphic function, a a nonzero finite complex number, and n ⩾ 2 a positive integer. Then ƒ + a(ƒ′)
n
assumes every complex value infinitely often. This answers a question of Ye for n = 2. A related normality criterion is also given.
This work was supported by the National Natural Science Foundation of China (Grant No. 10771076), the Natural Science Foundation
of Guangdong Province, China (Grant No. 07006700) and by the German-Israeli Foundation for Scientific Research and Development
(Grant No. G-809-234.6/2003) 相似文献
11.
LetΔ_1(x;φ) be the error term of the first Riesz mean of the Rankin-Selberg problem. We study the higher power moments ofΔ_1(x;φ) and derive an asymptotic formula for the 3-rd, 4-th and 5-th power moments by using Ivic's large value arguments and other techniques. 相似文献
12.
In this paper the authors give a new integral estimate of the Bessel function,which is an extension of Calder(?)n-Zygmund's result.As an application of this result,we prove that the parameterized Marcinkiewicz integralμ_Ω~p with variable kernels is of type (2,2),where the kernel functionΩdoes not have any smoothness on the unit sphere in R~n. 相似文献
13.
Both original and twisted Schr?dinger-Virasoro algebras, and also their deformations were introduced and investigated in a
series of papers by Henkel, Roger and Unterberger. In the present paper we aim at determining the 2-cocycles of original deformative
Schr?dinger-Virasoro algebras.
This work was supported by the National Natural Science Foundation of China (Grant Nos. 10471091, 10671027), Foundation of
Shanghai Education Committee (Grant No. 06FZ029) and “One Hundred Talents Program” from University of Science and Technology
of China 相似文献
14.
In a vacuum spacetime equipped with the Bondi’s radiating metric which is asymptotically flat at spatial infinity including
gravitational radiation (Condition D), we establish the relation between the ADM total energy-momentum and the Bondi energy-momentum
for perturbed radiative spatial infinity. The perturbation is given by defining the “real” time as the sum of the retarded
time, the Euclidean distance and certain function f.
This work is partially supported by the National Natural Science Foundation of China (Grant Nos. 10231050, 10421001), the
National Key Basic Research Project of China (Grant No. 2006CB805905) and the Innovation Project of Chinese Academy of Sciences 相似文献
15.
Yang Ding 《中国科学A辑(英文版)》2009,52(4):631-638
We present two constructions for binary self-orthogonal codes. It turns out that our constructions yield a constructive bound
on binary self-orthogonal codes. In particular, when the information rate R = 1/2, by our constructive lower bound, the relative minimum distance δ ≈ 0.0595 (for GV bound, δ ≈ 0.110). Moreover, we have proved that the binary self-orthogonal codes asymptotically achieve the Gilbert-Varshamov bound.
This work was supported by the China Scholarship Council, National Natural Science Foundation of China (Grant No.10571026),
the Cultivation Fund of the Key Scientific and Technical Innovation Project of Ministry of Education of China, and the Specialized
Research Fund for the Doctoral Program of Higher Education (Grant No. 20060286006) 相似文献
16.
For numerical computations of multiple solutions of the nonlinear elliptic problemΔu f(u)=0 inΩ, u=0 onΓ, a search-extension method (SEM) was proposed and systematically studied by the authors. This paper shall complete its theoretical analysis. It is assumed that the nonlinearity is non-convex and its solution is isolated, under some conditions the corresponding linearized problem has a unique solution. By use of the compactness of the solution family and the contradiction argument, in general conditions, the high order regularity of the solution u∈H~(1 α),α>0 is proved. Assume that some initial value searched by suitably many eigenbases is already fallen into the neighborhood of the isolated solution, then the optimal error estimates of its nonlinear finite element approximation are shown by the duality argument and continuation method. 相似文献
17.
HuaiHui Chen 《中国科学A辑(英文版)》2008,51(11):1965-1981
In this paper we establish characterizations of α-Bloch functions on the unit ball without use of derivative, which are stronger, more precise and general than those obtained by Nowak and Zhao. 相似文献
18.
Ke-jian Xu 《中国科学A辑(英文版)》2007,50(1):116-120
Based on the work of Lenstra, a succinct proof of Browkin’s conjecture about the elements of order five in K
2(ℚ) is given.
This work was supported by the National Natural Science Foundation of China (Grant No. 10371061). 相似文献
19.
In this paper, we prove the global existence and uniqueness of the strong and weak solutions for 2D Navier-Stokes equations
on the torus perturbed by a Lévy process. The existence of invariant measure of the solutions are proved also.
This work was supported by National Basic Research Program of China (Grant No. 2006CB8059000), Science Fund for Creative Research
Groups (Grant No. 10721101), National Natural Science Foundation of China (Grant Nos. 10671197, 10671168), Science Foundation
of Jiangsu Province (Grant Nos. BK2006032, 06-A-038, 07-333) and Key Lab of Random Complex Structures and Data Science, Chinese
Academy of Sciences 相似文献
20.
Guang Gui DING 《数学学报(英文版)》2006,22(1):279-282
In this paper, we shall present a short and simple proof on the isometric linear extension problem of into-isometries between two unit spheres of atomic abstract L^p-spaces (0 〈 p 〈 ∞). 相似文献