数学学报杂志 北大期刊 CSCD期刊 统计源期刊

The Defocusing Energy-supercritical Hartree Equation

作者：Ji; Qiang; ZHENG 刊期：2014年第04期

In this paper,we study the global well-posedness and scattering problem for the energysupercritical Hartree equation iut+Δu.(|x|.γ.|u|2)u=0 with γ>4 in dimension d > γ.We prove that if the solution u is apriorily bounded in the critical Sobolev space,that is,u ∈Lt∞(I;Hxsc(Rd)) with sc:= γ/2.1>1,then u is global and...

Yetter-Drinfeld Modules over Weak Braided Hopf Monoids and Center Categories

作者：Jose; Nicanor; ALONSO; ALVAREZ; Ramon; GONZALEZ; RODRIGUEZ; Carlos; SONEIRA; CALVO 刊期：2014年第04期

In this paper,we introduce several centralizer constructions in a monoidal context and establish a monoidal equivalence with the category of Yetter–Drinfeld modules over a weak braided Hopf monoid.We apply the general result to the calculus of the center in module categories.

On a Relation between the Universal Teichmiiller Space and the Grunsky Operator

作者：Masahiro; YANAGISHITA 刊期：2014年第04期

Being a Strebel point gives a sufficient condition for that the extremal Beltrami coefficient is uniquely determined in a Teichmüller equivalence class.We consider how Strebel points are characterized.In this paper,we will give a new characterization of Strebel points in a certain subset of the universal Teichmüller ...

f-Class Two Graphs Whose f-Cores Have Maximum Degree Two

作者：Xia; ZHANG; Gui; Ying; YANt; Jian; Sheng; CAI 刊期：2014年第04期

图 G 的 f 着色是 G 的边着色以便每种颜色至多出现在每顶点 V (G)f() 时间。G 的 f 核心是度 $d (v)= f (v)\max _ 的顶点导致的 G 的 subgraph { v \in V (G)}\{\left\lceil { d (v)/f (v)}\right\rceil \}$ 。在这份报纸，我们为一张简单的图发现一些必要条件，其 f 核心有最大的度二，具有为 f 着色的班 2。

Asymptotic Estimates on the Time Derivative of Φ-entropy on Riemannian Manifolds

作者：Bin; QIAN 刊期：2014年第04期

In this note,we obtain an asymptotic estimate for the time derivative of the Φ-entropy in terms of the lower bound of the Bakry–Emery Γ2 curvature.In the cases of hyperbolic space and the Heisenberg group(more generally,the nilpotent Lie group of rank two),we show that the time derivative of the Φ-entropy is non-inc...

Wavelet Transform and Radon Transform on the Quaternion Heisenberg Group

作者：Jian; Xun; HE; He; Ping; LIU 刊期：2014年第04期

让是四元数海森堡组，并且让 P 是仿射的自守组。我们上经由 P 的单一的代表在四元数海森堡组上开发连续小浪变换的理论。光线的小浪的一个班被构造。反的小浪变换被使用光线的小浪简化。然后，我们上调查氡变换。一个 Semyanistyi-Lizorkin 空格被介绍，在哪个上氡变换是 bijection。我们由欧几里德几何学的 Fourier 变换和组 Fourier 变换在两...

CalderSn-Zygmund Operators in the Bessel Setting for All Possible Type Indices

作者：Alejandro; J.; CASTRO; Tomasz; Z.; SZAREK 刊期：2014年第04期

We show that many harmonic analysis operators in the Bessel setting,including maximal operators,Littlewood–Paley–Stein type square functions,multipliers of Laplace or Laplace–Stieltjes transform type and Riesz transforms are,or can be viewed as,Calderón–Zygmund operators for all possible values of type parameter ...

Nowhere-zero 15-Flow in 3-Edge-connected Bidirected Graphs

作者：Er; Ling; WEI; Wen; Liang; TANG; Dong; YE 刊期：2014年第04期

它被 Bouchet 推测承认的每张 bidirected 图一没什么地方 -- 零 k 流动将承认一没什么地方 -- 零 6 流动。当 6 被 216 代替时，他证明 conjecture 是真的。Zyka 与 6 改进了结果在 30 代替了。徐和张证明 conjecture 为 6-edge-connected 图是真的。并且为证明的 4-edge-connected 图， Raspaud 和朱，它与 6 是真的在 4 代替了。在这份报纸，...

Vertex-disjoint K1＋ （K1 ∪ K2） in Kl,4-free Graphs with Minimum Degree at Least Four

作者：Yun; Shu; GAO; Qing; Song; ZOU 刊期：2014年第04期

A graph is said to be K1,4-free if it does not contain an induced subgraph isomorphic to K1,4.Let k be an integer with k≥2.We prove that ifG is a K1,4-free graph of order at least 11k-10 with minimum degree at least four,then G contains k vertex-disjoint copies of K1+(K1∪K2).

Γ-inverses of Bounded Linear Operators

作者：Xiao; Ming; XU; Hong; Ke; DU; Xiao; Chun; FANG 刊期：2014年第04期

Let B(H) be the algebra of all the bounded linear operators on a Hilbert space H.For A,P and Q in B(H),if there exists an operator X∈ B(H) such thatAP X QA=A,X QAP X=X,(QAP X)*=QAP X and(X QAP)*=X QAP,then X is said to be the Γ-inverse of A associated with P and Q,and denoted by AP,Q+.In this note,we present some ne...

Hyperbolic Metric and Normal Family

作者：Cai; Yun; FANG; Xue; Cheng; PANG 刊期：2014年第04期

In this paper,we study the normality of the family of meromorphic functions from the viewpoint of hyperbolic metric.Then,a new sufficient and necessary condition is obtained,which can determine a given family of meromorphic functions is normal or not.

Characterization of Arithmetic Functions that Preserve the Sum-of-squares Operation

作者：Bojan; BASIC 刊期：2014年第04期

我们描绘所有功能 f：以便 f (m 2 + n 2 )= f (m) 2 + f (n) 2 为所有 m， n。结果，都，如此的功能能被组织进三个家庭，也就是 f 0， f (n)=

On All Fractional （a, b, k）-Critical Graphs

作者：Si; Zhong; ZHOU; Zhi; Ren; SUN 刊期：2014年第04期

让一， b， k， r 是有 1 一 b 和 r 的 nonnegative 整数 2。让 G 是有 $n 的顺序 n 的一张图 >\tfrac {{(+ b )(r (+ b )- 2 )+ ak }}{ 一 }$ 。在这份报纸，我们首先为部分的所有显示出描述(一， b， k ) 批评的图。然后使用结果，我们证明 G 都是部分的(一， b ， k )批评如果 $\delta (G) \geqslant \tfrac {{( r - 1 ) b ^ 2 }}{一}+ k $...

Neighbor Sum Distinguishing Total Colorings of Graphs with Bounded Maximum Average Degree

作者：Ai; Jun; DONG; Guang; Hui; WANG 刊期：2014年第04期

Kernel Quantile Estimator with ICI Adaptive Bandwidth Selection Technique

作者：Jie; Yu; FAN; Man; Lai; TANG; Mao; Zai; TIAN 刊期：2014年第04期

In this article,we consider a class of kernel quantile estimators which is the linear combination of order statistics.This class of kernel quantile estimators can be regarded as an extension of some existing estimators.The exact mean square error expression for this class of estimators will be provided when data are ...