数学学报杂志 北大期刊 CSCD期刊 统计源期刊

An Equivalent Condition for the Self Similar Sets on the Real Line to Have Best Coverings

作者：Jian; Dong; YIN; Zuo; Ling; ZHOU 刊期：2013年第09期

In this paper, an equivalent condition for the self similar sets on the real line to have best coverings is given. As a result, it partly gives answer to the conjecture which was posed by Zhou and Feng [Zhou, Z. L., Feng, L.: Twelve open problems on the exact value of the Hausdorff measure and on topological entropy:...

On the Lp-Dual Mixed Volumes

作者：Lian; Ying; CHEN; Chang; Jian; ZHAO 刊期：2013年第09期

我们为 i-th L p 建立周期的不平等双混合体积和 L p 在 p 想宽度和 L p 之间的双 Urysohn 不平等双 quermassintegral。而且，为双混合体积被证明的 L p 的双 isoperimetric 不平等，它是古典双 isoperimetric 不平等的延期。

A General Vectorial Ekeland’s Variational Principle with a P-distance

作者：Jing; Hui; QIU; Fei; HE 刊期：2013年第09期

In this paper, by using p-distances on uniform spaces, we establish a general vectorial Ekeland variational principle (in short EVP), where the objective function is defined on a uniform space and taking values in a pre-ordered real linear space and the perturbation involves a p-distance and a monotone function of th...

A Characterization of Multidimensional Multi-knot Piecewise Linear Spectral Sequence and Its Applications

作者：Xiao; Na; CUI; Xu; LIU; Rui; WANG; Dun; Yan; YAN 刊期：2013年第09期

We characterize a class of piecewise linear spectral sequences. Associated with the spectral sequence, we construct an orthonormal exponential bases for L2([0,1)d), which are called generalized Fourier bases. Moreover, we investigate the convergence of Bochner-Riesz means of the generalized Fourier series.

A Remark on the Generalized Second Order Toda System

作者：Rui; Chang; PEI 刊期：2013年第09期

在这份报纸，我们证实 priori 估计到概括的秒顺序 Toda 系统$$\left\{ \begin {聚在一起}- \Delta u_1 (x)= 2R_1 (x) e ^{ u_1 }- R_2 e ^{ u_2 }， \hfill \\- \Delta u_2 (x)=- R_1 (x) e ^{ u_1 }+ 2R_2 e ^{ u_2 } \hfill \\ \end {聚在一起}在 2 的\right.$$，并且讨论集中和它的答案的 asymptotic 行为 R i (x)， i = 1 ， 2 ，是在 2 ...

A Class of Finite-Dimensional Representations of U_q（sl_2）

作者：Dong; Ming; CHENG; Dong; SU 刊期：2013年第09期

以便学习 U q 的有限维的代表的一个班( sl 2 )，我们处理商代数学 U q ( m ， n ， b )量组 U q ( sl 2 )与关系 K r = 1 ， E mr = b ， 0 在这糊的 F nr =，在 q 是统一的一条根的地方。代数学 U q (m， n， b ) 被分解成直接的和不能分解(左) 理想。不能分解的射影的代表和他们的块的结构是坚定的。

Oblique Derivative Problem for Quasilinear Mixed （Lavrentév-Bitsadze） Equations of Second Order in Two Connected Domains

作者：Guo; Chun; WEN 刊期：2013年第09期

In this article, we first give the representation of solutions for the oblique derivative problem of mixed (Lavrentév-Bitsadze) equations in two connected domains, afterwards prove the uniqueness of solutions of the above problem. Moreover, we prove the solvability of oblique derivative problem for quasilinear mixed ...

Hitting Probabilities and Fractal Dimensions of Multiparameter Multifractional Brownian Motion

作者：Zhen; Long; CHEN 刊期：2013年第09期

The main goal of this paper is to study the sample path properties for the harmonisable-type N-parameter multifractional Brownian motion, whose local regularities change as time evolves. We provide the upper and lower bounds on the hitting probabilities of an (N, d)-multifractional Brownian motion. Moreover, we deter...

Weighted Norm Inequalities of the Maximal Commutator of Quasiradial Bochner-Riesz Operators

作者：Yong; Cheol; KIM 刊期：2013年第09期

A New Gluing Recursive Relation for Linear Sigma Model of P~1-orbifold

作者：Xiao; Bin; LI; Bo; Hui; CHEN; Cheng; Yong; DU 刊期：2013年第09期

The study of the moduli space plays an important role in classical enumerative geometry and its interaction with string theory in physics. Given X=[P1/Zr] and let x’ = ([0]a , [∞]b) the 2-tuple of twisted sectors on X , we construct in this paper two different compactifications of the moduli space M0,2(X, d[P1/Zr],...

An Implicit Degree Ore-condition for Pancyclicity of Graphs

作者：Hao; LI; Jun; Qing; CAI 刊期：2013年第09期

In 1989, Zhu, Li and Deng introduced the definition of implicit degree of a vertex v in a graph G, denoted by id(v). In this paper, we prove that if G is a 2-connected graph of order n such that id(u) + id(v) ≥ n for each pair of nonadjacent vertices u and v in G, then G is pancyclic unless G is bipartite, or else n...

Ergodic Measures of Geodesic Flows on Compact Lie Groups

作者：Gang; LIAO; Wen; Xiang; SUN 刊期：2013年第09期

Let Ψ be the geodesic flow associated with a two-sided invariant metric on a compact Lie group. In this paper, we prove that every ergodic measure μ of Ψ is supported on the unit tangent bundle of a flat torus. As an application, all Lyapunov exponents of μ are zero hence μ is not hyperbolic. Our underlying manifolds...

Dual Toeplitz Operators on the Sphere

作者：Hocine; GUEDIRI 刊期：2013年第09期

Dual Toeplitz operators on the Hardy space of the unit circle are anti-unitarily equivalent to Toeplitz operators. In higher dimensions, for instance on the unit sphere, dual Toeplitz operators might behave quite differently and, therefore, seem to be a worth studying new class of Toeplitz-type operators. The purpose...

Homoclinic Solutions in Periodic Nonlinear Difference Equations with Superlinear Nonlinearity

作者：Zhan; ZHOU; Jian; She; YU 刊期：2013年第09期

In this paper, we consider the existence of homoclinic solutions in periodic nonlinear difference equations with superlinear nonlinearity. The classical Ambrosetti-Rabinowitz superlinear condition is improved by a general superlinear one. The proof is based on the critical point theory in combination with periodic ap...

General Admissibility for Linear Estimators in a General Multivariate Linear Model under Balanced Loss Function

作者：Ming; Xiang; CAO; Fan; Chao; KONG 刊期：2013年第09期

A generalization of Zellner's balanced loss function is proposed. General admissibility in a general multivariate linear model is investigated under the generalized balanced loss function. And the sufficient and necessary conditions for linear estimators to be generally admissible in classes of homogeneous and nonhom...