关于赋权非正则图的A_(α)特征值和特征向量

设G_(ω)=(G,ω)是一个赋权图,其邻接矩阵和赋权度对角矩阵分别A(G_(ω))和D(G_(ω))。对于α∈[0,1],G_(ω)的A_(α)-矩阵为A_(α)(G_(ω))=αD(G_(ω))+(1-α)A(G_(ω))。对于连通赋权非正则图G_(ω),给出了其关于A_(α)-特征值的一些界,并得到了A_(α)-谱半径对应的特征向量中最大分量与最小分量比值的下界。

基于(p,q)-SzáSz-Mirakyan-Baskakov-Stancu算子的逼近性质

本文讨论(p,q)-SzáSz-Mirakyan-Baskakov算子的Stancu型推广.研究了新算子的加权逼近性质,并利用适当的连续模给出了收敛速度.同时,利用K函数的方法对(p,q)-SzáSz-Mirakyan-Baskakov算子进行了改进,讨论了其逼近性质.

向量值多线性奇异积分算子的加权Sharp不等式

利用不等式、原子分解性质研究了向量值多线性算子,证明了某些向量值多线性奇异积分算子的一个加权Sharp不等式,并利用此不等式得到了该向量值多线性算子的加权L^(p)型不等式和L log L型不等式。

非正则赋权有向图A_(α)谱半径的上界

Let D be a weighted digraph with n vertices in which each arc has been assigned a positive number.Let A(D)be the adjacency matrix of D and W(D)=diag(w_(1)^(+),w_(2)^(+),...,w_(n)^(+)).In this paper,we study the matrix A_(α)(D),which is defined as Aα(D)=αW(D)+(1−α)A(D),0≤α≤1.The spectral radius of A_(α)(D)is called the Aαspectral radius of D,denoted byλα(D).We obtain some upper bounds on the Aαspectral radius of strongly connected irregular weighted digraphs.

Hadamard流形的子流形上的一些p-调和形式的消灭定理

本文研究了Hadamard流形N的完备浸入子流形M上的一些p-调和形式的消灭定理.首先,假设M满足加权庞加莱不等式且具有平坦法丛,N具有纯曲率张量且(l,n-l)-曲率不小于-kρ(0≤k≤4/p^(2)),2≤l≤n-2.如果总曲率足够小,我们得到了p-调和l-形式的消灭定理,推广了Wang-Chao-Wu-Lv在2018年的结果.其次,假设N是一个截面曲率满足-k^(2)≤K_(N)≤0的Hadamard流形,如果总曲率足够小且拉普拉斯的第一特征值满足某个下界,我们得到了p-调和1-形式的消灭定理,推广了Dung-Seo在2015年的结果.

一般有界区域上高维变权p-Laplacian问题保号解的存在性

研究一般有界区域上高维变权p-Laplacian方程-div(φ_(p)▽(u))=γm(x)f(u),u(x)=0,x∈∂Ω保号解的存在性.其中Ω是R^(N)上的一个有界且在其边界上光滑的区域,m(x)∈C(Ω),γ是一个参数,f∈C(ℝ,ℝ),对于s≠0满足sf(s)>0.当满足f_(0)■(0,∞)或f_(∞)(0,∞)(其中f_(0)=lim|s|→0 f(s)/φ_(p)(s),f_(∞)=lim|s|→∞f(s)/φ_(p)(s)),且γ≠0属于一定区间时,本文研究上述高维p-Laplacian方程保号解的存在性.我们用全局分歧技巧和连通序列集取极限的方法获得主要结果.

The Interpolation of Operators between Weighted Hardy Spaces and Weighted L^p Spaces

The paper is given the interpolation of operators between weighted Hardy spaces and weighted L p spaces when w∈A 1 by Calderon Zygmund decomposition.

P∗(κ)-线性权互补问题的一种全牛顿步可行内点算法

本文提出一种求解P∗(κ)-线性权互补问题(LWCP)的新全牛顿步可行内点算法.首先基于一个连续可微的核函数,构造新代数等价变换,得到光滑中心路径的等价形式.然后沿着搜索方向使用全牛顿步,无需进行线搜索,节省运行内存.最后分析算法的可行性及收敛性,并通过数值算例验证算法的有效性.

监控不合格品率的MEWMA-p控制图设计

传统Shewhart-p控制图只对单一属性的不合格品率进行监控,在过程发生偏移时有一定的滞后性。为提高不合格品率控制图的精度,提出一种多元指数加权移动平均不合格品率(multivariate exponentially weighted moving average p, MEWMA-p)控制图。该控制图将多个属性的不合格品率应用于多元指数加权移动平均控制图,可同时对多个属性进行监控,并且对于小范围的偏移更加敏感。对比分析同等偏移程度下指数加权移动平均不合格品率(exponentially weighted moving average p, EWMA-p)控制图与MEWMA-p控制图的平均运行长度(average run length,ARL)结果,并通过模拟仿真说明该方法的有效性。

A_(p)(φ)权,拟微分算子及其交换子

该文探讨了象征函数属于Hoormander类S_(ρ,δ)^(m)(R^(n))的拟微分算子T及其与BMO函数b生成的交换子[b,T]在加权L^(p)空间L_(w)^(p)(R^(n))上的有界性问题,其中权w属于A_(p)(φ),它包含了经典的Muckenhoupt权A_(p)(R^(n)).

Weighted composition operators from F(p,q,s) spaces to Bers-type spaces in the unit ball

This paper deals with the boundedness and compactness of the weighted composition operators from the F（p, q, s） spaces, including Hardy space, Bergman space, Qp space, BMOA space, Besov space and α-Bloch space, to Bers-type spaces Hv^∞（ or little Bers-type spaces Hv,o∞ ）, where v is normal.

Near Subnormality of Weighted Shifts and the Answer to the Hilbert Space Problem 160

In this paper, necessary and sufficient conditions are obtained for unilateral weighted shifts to be near subnormal. As an application of the main results, many answers to the Hilbert space problem 160 are presented at the end of the paper.

MULTIPLIERS AND RELATIVE COMPLETION IN WEIGHTED LORENTZ SPACES

Let G be a locally compact Abelian group with Haar measure μ. In the present paper, first the authors discussed some properties of weighted Lorentz space. Then they defined the relative completion A of a subspace A of the weighted Lorentz space, and showed that the space of the multipliers from L_w~1,(G) to A is algebrically isomorphic and homeomorphic to A.

A sharp gradient estimate for the weighted p-Laplacian

Let M be an n-dimensional complete noncompact Riemannian manifold with sectional curvature bounded from below, dμ = e^h（x） dV（x） the weighted measure and △μ,p the weighted p-Laplacian. In this paper we consider the non-linear elliptic equation △μ,pu=-λμ,p｜u｜^p-2ufor p ∈ （1, 2）. We derive a sharp gradient estimate for positive smooth solutions of this equation. As applications, we get a Harnack inequality and a Liouville type theorem..

GRADIENT ESTIMATES AND ENTROPY FORMULAE FOR WEIGHTED p-HEAT EQUATIONS ON SMOOTH METRIC MEASURE SPACES

Let （M,g, e^-fdv） be a smooth metric measure space. In this paper, we con- sider two nonlinear weighted p-heat equations. Firstly, we derive a Li-Yau type gradient estimates for the positive solutions to the following nonlinear weighted p-heat equationand f is a smooth function on M under the assumptionthat the m-dimensional nonnegative Bakry-Emery Ricci curvature. Secondly, we show an entropy monotonicity formula with nonnegative m-dimensional Bakry-Emery Ricci curva- ture which is a generalization to the results of Kotschwar and Ni [9], Li [7].

MULTIPLICITY OF SOLUTIONS OF WEIGHTED(p, q)-LAPLACIAN WITH SMALL SOURCE

In this article, we study the existence of infinitely many solutions to the degenerate quasilinear elliptic system -div（h1（x）｜△u｜p-2△u）=d（x）｜u｜r-2u＋Gu（x,u,v） in Ω -div（h2（x）｜△u｜q-2△v）=f（x）｜v｜s-2v＋Gv（x,u,v） in Ω, u=v=0 on δΩ where Ω is a bounded domain in RN with smooth boundary δΩ, N ≥ 2, 1 〈 r 〈 p ∞, 1〈 s 〈 q 〈 ∞; h1（x） and h2（x） are allowed to have ＂essential＂ zeroes at some points in Ω; d（x）｜u｜r-2u and f（x）｜v｜s-2v are small sources with Gu（x,u,v）, Gv（x,u,v） being their high-order perturbations with respect to （u, v） near the origin, respectively.

TWO WEIGHT CHARACTERIZATIONS FOR THE MULTILINEAR LOCAL MAXIMAL OPERATORS

Let 0<β<1 andΩbe a proper open and non-empty subset of R^(n).In this paper,the object of our investigation is the multilinear local maximal operator Mβ,defined by M_(β)((f))(x)=sup_(Q(∈)xQ∈Fβ)Π_(i=1)^m1/|Q|∫_(Q)|f_(i)(y_(i))|dy_(i),where F_(β)={Q(x,l):x∈Ω,l<βd(x,Ω^(c))},Q=Q(x,l)is denoted as a cube with sides parallel to the axes,and x and l denote its center and half its side length.Two-weight characterizations for the multilinear local maximal operator M_(β)are obtained.A formulation of the Carleson embedding theorem in the multilinear setting is proved.

ON PL TYPE WEIGHTED LACUNARY (0,2;0)-INTERPOLATION ON INFINITE INTERVAL (-∞,+∞)

In this paper, we study the weighted (0,2;0)-interpolation on infinite interval, which means to determine a polynomial of degree ≤3n-1 when the function values are prescribed at two sets of points namely the zeros of H n(x) and H ′ n(x) and the wieghted second derivative at the zeros of H n(x).

A_β^α空间到F（p,q,s）空间的加权复合算子

讨论了Aαβ空间到F(p,q,s)空间的加权复合算子Tυ,(f)=υ·f的有界性和紧性,给出了相关的充要条件。

The Characterizations of Weighted H^p(w) Spaces on the Certain Groups

The weighted HP(ω) spaces on the homogeneous type spaces have been defined in [1],in this paper we shall show the equivalence of various characterizations of HP (ω) on the certain groups that are the special kind of the homogeneous type spaces.