数学学报杂志 北大期刊 CSCD期刊 统计源期刊

On Double Vector Bundles

作者：Zhuo; CHEN; Zhang; Ju; LIU; Yun; He; SHENG 刊期：2014年第10期

In this paper, we construct a category of short exact sequences of vector bundles and prove that it is equivalent to the category of double vector bundles. Moreover, operations on double vector bundles can be transferred to operations on the corresponding short exact sequences. In particular, we study the duality the...

Matching Realization of Uq（sln＋1） of Higher Rank in the Quantum Weyl Algebra Wq（2n）

作者：Nai; Hong; HU; Shen; You; WANG 刊期：2014年第10期

In the paper, we further realize the higher rank quantized universal enveloping algebra Uq(sln+1) as certain quantum differential operators in the quantum Weyl algebra Wq(2n) defined over the quantum divided power algebra Aq(n) of rank n. We give the quantum differential operators realization for both the simple root...

A Weak＊ Similarity Degree Characterization for Injective von Neumann Algebras

作者：Zhe; DONG; Ya; Fei; ZHAO 刊期：2014年第10期

In this note, we show that a von Neumann algebra M is injective if and only if the weak*similarity degree d*(M) ≤ 2.

On Commuting Tonelli Hamiltonians： Time-periodic Case

作者：Xiaojun; CUI 刊期：2014年第10期

我们证明 Aubry 设定，妈 ? 问 ????????? 导吗？？

Poincar and Weak Poincar Inequalities for the Mixed Poisson Measure

作者：Chang; Song; DENG 刊期：2014年第10期

By using the Mecke identity, we study a class of birth-death type Dirichlet forms associated with the mixed Poisson measure. Both Poincar and weak Poincar inequalities are established, while another Poincar type inequality is disproved under some reasonable assumptions.

Eigenvalue Estimates and L1 Energy on Closed Manifolds

作者：Li; MA 刊期：2014年第10期

In this paper, we study Lichnerowicz type estimate for eigenvalues of drifting Laplacian operator and the decay rates of L1 and L2energy for drifting heat equation on closed Riemannian manifolds with weighted measure.

Notes on Global Existence for the Nonlinear Schrodinger Equation Involves Derivative

作者：Shi; Yang; ZHENG 刊期：2014年第10期

In this paper, we consider the scattering for the nonlinear Schr¨odinger equation with small,smooth, and localized data. In particular, we prove that the solution of the quadratic nonlinear Schr¨odinger equation with nonlinear term |u|2involving some derivatives in two dimension exists globally and scatters. It is wo...

Dunkl＇s Theory and Best Approximation by Entire Functions of Exponential Type in L2-metric with Power Weight

作者：Yong; Ping; LIU; Chun; Yuan; SONG 刊期：2014年第10期

In this paper, we study the sharp Jackson inequality for the best approximation of f ∈L2,κ(Rd) by a subspace E2κ(σ)(SE2κ(σ)), which is a subspace of entire functions of exponential type(spherical exponential type) at most σ. Here L2,κ(Rd) denotes the space of all d-variate functions f endowed with the L2-norm with t...

On Invertible Nonnegative Hamiltonian Operator Matrices

作者：Guo; Hai; JIN; Guo; Lin; HOU; Alatancang; CHEN; De; Yu; WU 刊期：2014年第10期

Some new characterizations of nonnegative Hamiltonian operator matrices are given. Several necessary and sufficient conditions for an unbounded nonnegative Hamiltonian operator to be invertible are obtained, so that the main results in the previously published papers are corollaries of the new theorems. Most of all w...

Composition Operators on Dirichlet Spaces and Bloch Space

作者：Yuan; CHENG; Sanjay; KUMAR; Ze; Hua; ZHOU 刊期：2014年第10期

In this paper we give a Carleson measure characterization for the compact composition operators between Dirichlet type spaces. We use this characterization to show that every compact composition operator on Dirichlet type spaces is compact on the Bloch space.

C∞-solutions for the Second Type of Generalized Feigenbaum＇s Functional Equations

作者：Min; ZHANG 刊期：2014年第10期

On Value Distribution of Δ~nf

作者：Shuang; Ting; LAN; Zong; Xuan; CHEN 刊期：2014年第10期

In this paper, we mainly study zeros and poles of the forward differences Δnf(z), where f(z) is a finite order meromorphic function with two Borel exceptional values.

A Filter Method for Nonlinear Semidefinite Programming with Global Convergence

作者：Zhi; Bin; ZHU; Hua; Li; ZHU 刊期：2014年第10期

In this study, a new filter algorithm is presented for solving the nonlinear semidefinite programming. This algorithm is inspired by the classical sequential quadratic programming method.Unlike the traditional filter methods, the sufficient descent is ensured by changing the step size instead of the trust region radi...

Acta Mathematica Sinica

刊期：2014年第10期