数学学报杂志 北大期刊 CSCD期刊 统计源期刊

Three-space Problems for the Bounded Compact Approximation Property

作者：Dong; Yang; CHEN; Ben; Tuo; ZHENG 刊期：2013年第04期

In this paper, the notion of the bounded compact approximation property (BCAP) of a pair [Banach space and its subspace] is used to prove that if X is a closed subspace of L∞ with the BCAP, then L∞/X has the BCAP. We also show that X* has the λ-BCAP with conjugate operators if and only if the pair (X, Y) has the λ-...

Essential Norms of Composition Operators between Weighted Bergman Spaces of the Unit Disc

作者：Luo; LUO; Jing; CHEN 刊期：2013年第04期

In this paper, we express the essential norms of composition operators between weighted Bergman spaces of the unit disc in terms of the generalized Nevanlinna counting function.

Reflected Backward Doubly Stochastic Differential Equations with Discontinuous Coefficients

作者：Zhi; LI; Jiao; Wan; LUO 刊期：2013年第04期

In this paper, we study one-dimensional reflected backward doubly stochastic differential equations (RBDSDEs) with one continuous barrier and discontinuous (left or right continuous) generator. We obtain an existence theorem and a comparison theorem for solutions of the class of RBDSDEs.

A Microscopic Convexity Principle for Spacetime Convex Solutions of Fully Nonlinear Parabolic Equations

作者：Chuan; Qiang; CHEN; Bo; Wen; HU 刊期：2013年第04期

We study microscopic spacetime convexity properties of fully nonlinear parabolic partial differential equations. Under certain general structure condition, we establish a constant rank theorem for the spacetime convex solutions of fully nonlinear parabolic equations. At last, we consider the parabolic convexity of so...

On Wiener-Poisson Type Multivalued Stochastic Differential Equations with Non-Lipschitz Coefficients

作者：Jing; WU 刊期：2013年第04期

In this paper, we prove local uniqueness for multivalued stochastic differential equations with Poisson jumps. Then existence and uniqueness of global solutions is obtained under the conditions that the coefficients satisfy locally Lipschitz continuity and one-sided linear growth of b. Moreover, we also prove the Mar...

Vector Cascade Algorithms with Infinitely Supported Masks in Weighted L2-Spaces

作者：Jian; Bin; YANG 刊期：2013年第04期

在这份报纸，我们将学习形式 $$\Phi \sum\limits_的功能的方程的答案{ \alpha \in \mathbb { Z }^ s }{一( \alpha ) \Phi ( M \cdot - \alpha )，}$$在哪儿=( 1 ，...，吗 r ) T 是 r 畬摥？？

Non-recurrence of exp（z）/z

作者：Guo; Ping; ZHAN 刊期：2013年第04期

在这份报纸，我们在刺穿的飞机上考虑地图 z exp (z)/z 的动力学 *=\{ 0 } 。我们显示出那为几乎每点 z * ， z 的限制集合等于 { 0， } 。特别地，地图不是周期性的。

On Inclusion of Permutation Modules

作者：Li; Zhong; WANG 刊期：2013年第04期

让 H 1， H 2 是有限的组 G 的亚群。假定那 G = i=1 m H 2 y i H 1 = j=1 n H 1 g j H 1 和那 y 1 = 1， g 1 = 1。让 D i 由 H 2 的正确 cosets 组成设置在 H 2 y i H 1 被包含并且让 d j (j = 1， ... ， n ) 由正确 cosets 组成设置在 H 1 g j H 被包含 { ia1 } 。我们定义 nrall，口头的 MTX 中止率由于胃的不耐是 28.6 % 。中止为的时间口...

λ-Central BMO Estimates for Commutators of Multilinear Maximal Operators

作者：Zeng; Yan; SI; Qing; Ying; XUE 刊期：2013年第04期

作者为最大的 multilinear 考尔德稠 ? 的整流器建立中央 BMO 估计 ?????? 篚吗？？

Almost Sure Convergence Theorem and Strong Stability for Weighted Sums of NSD Random Variables

作者：Yan; SHEN; Xue; Jun; WANG; Wen; Zhi; YANG; Shu; He; HU 刊期：2013年第04期

In this paper, Kolmogorov-type inequality for negatively superadditive dependent (NSD) random variables is established. By using this inequality, we obtain the almost sure convergence for NSD sequences, which extends the corresponding results for independent sequences and negatively associated (NA) sequences. In addi...

The Local and Global Existence of Solutions for a Generalized Camassa-Holm Equation

作者：Shao; Yong; LAI; Nan; LI; Jian; ZHANG 刊期：2013年第04期

A fully nonlinear generalization of the Camassa-Holm equation is investigated. Using the pseudoparabolic regularization technique, its local well-posedness in Sobolev space Hs(R) with s>3/2 is established via a limiting procedure. Provided that the initial momentum (1-x2)u0 satisfies the sign condition, u0∈Hs(R)(s...

Convergence in Law to Operator Fractional Brownian Motion of Riemann-Liouville Type

作者：Hong; Shuai; DAI 刊期：2013年第04期

In this paper, we extend the well-studied fractional Brownian motion of Riemann-Liouville type to the multivariate case, and the corresponding processes are called operator fractional Brownian motions of Riemann-Liouville type. We also provide two results on approximation to operator fractional Brownian motions of Ri...

Similarity of Multiplication Operators on the Sobolev Disk Algebra

作者：Kui; JI; Rui; SHI 刊期：2013年第04期

在这份报纸，我们在 Sobolev 磁盘代数学 $R 上为增加操作员 M g 给一个类似分类(\mathbb { D }) 有在联合起来的磁盘 $\mathbb 的闭合上分析的 g 的 ${ D }$ 。

Anisotropic Curl-free Wavelet Bases on the Unit Cube

作者：Ying; Chun; JIANG 刊期：2013年第04期

This paper deals with the construction of anisotropic curl-free wavelets on the cube [0 , 1]3 , which satisfies the specific boundary conditions. First, one constructs curl-free wavelets on the unit cube based on one dimensional wavelets on the interval [0, 1] with some boundary conditions. Then, the stability of the...

Dynamically Consistent Nonlinear Evaluations with Their Generating Functions in Lp

作者：Feng; HU 刊期：2013年第04期