数学学报杂志 北大期刊 CSCD期刊 统计源期刊

Bilateral Hardy-type Inequalities

作者：Mu; Fa; CHEN 刊期：2013年第01期

This paper studies the Hardy-type inequalities on the intervals (may be infinite) with two weights, either vanishing at two endpoints of the interval or having mean zero. For the first type of inequalities, in terms of new isoperimetric constants, the factor of upper and lower bounds becomes smaller than the known on...

Interior Regularity on the Abreu Equation

作者：Bo; Hui; CHEN; An-Min; LI; Li; SHENG 刊期：2013年第01期

Singular Integrals and Weighted Triebel-Lizorkin and Besov Spaces of Arbitrary Number of Parameters

作者：Guo; Zhen; LU; Yue; Ping; ZHU 刊期：2013年第01期

Though the theory of Triebel-Lizorkin and Besov spaces in one-parameter has been developed satisfactorily, not so much has been done for the multiparameter counterpart of such a theory. In this paper, we introduce the weighted Triebel-Lizorkin and Besov spaces with an arbitrary number of parameters and prove the boun...

On Sullivan＇s Conjecture on Cycles in 4-free and 5-free Digraphs

作者：Hao; LIANG; Jun; Ming; XU 刊期：2013年第01期

For a simple digraph G, let β(G) be the size of the smallest subset X■E(G) such that G-X has no directed cycles, and let γ(G) be the number of unordered pairs of nonadjacent vertices in G. A digraph G is called k-free if G has no directed cycles of length at most k. This paper proves that β(G) ≤ 0.3819γ(G) if G is ...

Real Interpolation between Martingale Hardy and BMO Spaces

作者：Yan; Bo; REN; Tie; Xin; GUO 刊期：2013年第01期

Characterizing R-duality in Banach Spaces

作者：Ole; CHRISTENSEN; Xiang; Chun; XIAO; Yu; Can; ZHU 刊期：2013年第01期

R-duals of certain sequences in Hilbert spaces were introduced by Casazza, Kutyniok and Lammers in 2004 and later generalized to Banach spaces by Xiao and Zhu. In this paper we provide some characterizations of R-dual sequences in Banach spaces.

Diffeomorphisms with C1-stably Average Shadowing

作者：Manseob; LEE; Xiao; WEN 刊期：2013年第01期

让 M 一关门光滑歧管 M，和让的 f：M M 是 diffeomorphism。在这份报纸，我们考虑 f 的一个重要及物的集合。我们看那 f 是否穿上 C 1-stably 一般水准 shadowing 性质，然后承认统治切开。

Laplace-Beltrami Differentiability of Positive Definite Kernels on the Sphere

作者：M.; H.; CASTRO; V.; A.; MENEGATTO; C.; P.; OLIVEIRA 刊期：2013年第01期

This contribution gives results on the action of the Laplace-Beltrami derivative on sufficiently smooth kernels on the sphere, those defined by absolutely and uniformly expansions generated by a family of at least continuous functions. Among other things, the results show that convenient Laplace-Beltrami derivatives ...

（Quasi-）Poisson Enveloping Algebras

作者：Yan; Hong; YANG; Yuan; YAO; Yu; YE 刊期：2013年第01期

We introduce the quasi-Poisson enveloping algebra and Poisson enveloping algebra for a non-commutative Poisson algebra. We prove that for a non-commutative Poisson algebra, the category of quasi-Poisson modules is equivalent to the category of left modules over its quasi-Poisson enveloping algebra, and the category o...

Decomposition and Approximation of Multivariate Functions on the Cube

作者：Zhi; Hua; ZHANG 刊期：2013年第01期

In this paper, we present a decomposition method of multivariate functions. This method shows that any multivariate function f on [0, 1]d is a finite sum of the form ∑jφjψj , where each φj can be extended to a smooth periodic function, each ψj is an algebraic polynomial, and each φjψj is a product of separated varia...

Sharp Estimates of p-Adic Hardy and Hardy-Littlewood-Pólya Operators

作者：Zun; Wei; FU; Qing; Yah; WU; Shan; Zhen; LU 刊期：2013年第01期

In this paper we get the sharp estimates of the p-adic Hardy and Hardy-Littlewood-Pólya operators on Lq(|x|αpdx). Also, we prove that the commutators generated by the p-adic Hardy operators(Hardy-Littlewood-Pólya operators) and the central BMO functions are bounded on Lq(|x|αpdx), more generally, on Herz spaces.

A Normal Criterion about Two Families of Meromorphic Functions Concerning Shared Values

作者：Xiao; Jun; LIU; San; Hua; LI; Xue; Cheng; PANG 刊期：2013年第01期

A Trust Region Affine Scaling Method for Bound Constrained Optimization

作者：Xiao; WANG 刊期：2013年第01期

Homogeneous Approximation Property for Wavelet Frames with Matrix Dilations, II

作者：Zhi; Jing; ZHAO; Wen; Chang; SUN 刊期：2013年第01期

The Ergodicity of a Class of Almost Anosov Systems

作者：Yun; Hua; ZHOU 刊期：2013年第01期