由线性算子定义的一类p叶解析函数

用H adam ard积(或卷积)定义线性算子In p-1,并利用算子In p-1研究在单位圆内解析的p叶函数类Τn p-1(η;A,B),给出函数f(z)属于类Τn p-1(η;A,B)的充分必要条件,考虑了函数在积分算子Fλ,p作用下的保持关系,还考虑了星像函数和凸像函数的半径.     

复对称Toeplitz算子与向量值函数空间上的Toeplitz算子

研究复对称Toeplitz算子与向量值函数空间上的Toeplitz算子。第一部分主要研究了n维复数域C~n上Fock空间F~2和调和Fock空间F_h~2的复共轭性。从Toeplitz算子复对称有关的一些重要命题出发,给出了Toeplitz算子关于共轭C_(μ,ζ)在F~2或F_h~2上是复对称算子的充要条件。并且发现Toeplitz算子关于共轭C_(μ,ζ)在F~2和F_h~2上成为复对称算子的条件是相同的。第二部分主要研究单位圆盘的向量值指数权Bergman空间A_φ~2(H)上的正算子值函数符号Teoplitz算子,其中φ∈W_0,并且H为可分Hilbert空间。首先给出了Carleson条件与消失Carleson条件的几个等价刻画,紧接着利用Carleson条件与均值函数得到了正算子值函数符号Toeplitz算子在Bergman空间A_φ~2(H)上有界和紧的充要条件。     

次线性算子交换子在变指数Herz-Morrey空间上的有界性

本文主要利用给出的次线性算子分别与BMO函数及Lipschitz函数生成的交换子在变指数L~(p(·))(R~n)空间上的有界性,证明了其在变指数Herz-Morrey空间MK_(q,p(·))~α~((·)),λ(R~n)上的有界性.     

关于复数域上Banach空间上的向量值函数的一些注记

首先证明了取值于Banach空间上强连续的向量值函数是可积分的;然后用初等方法证明了向量值函数的柯西积分公式和高阶导数公式;最后讨论了取值于l^p（p≥1）空间上的向量值函数解析、可积、柯西积分公式和高阶导数公式与其各分量函数的关系和表示形式,并且给出了有限维赋范线性空间上的向量值函数连续、解析、可积、柯西定理、柯西积分公式和高阶导数公式与其各分量函数的关系和表示形式．     

关于复数域上Banach空间上的向量值函数的一些注记

首先证明了取值于Banach空间上强连续的向量值函数是可积分的;然后用初等方法证明了向量值函数的柯西积分公式和高阶导数公式;最后讨论了取值于l^p（p≥1）空间上的向量值函数解析、可积、柯西积分公式和高阶导数公式与其各分量函数的关系和表示形式,并且给出了有限维赋范线性空间上的向量值函数连续、解析、可积、柯西定理、柯西积分公式和高阶导数公式与其各分量函数的关系和表示形式．     

加权解析函数空间上Toeplitz算子

文章由两部分构成。第一部分主要研究了复平面■上向量值Doubling Fock空间F_φ~2上以■-值正算子值函数G (z)为符号的Teoplitz算子,其中φ为次调和函数,且dν=ΔφdA为非零加倍测度,■,通过得到的满足Carleson条件以及消失Carleson条件的几个等价刻画,并且利用Carleson条件刻画了具有■-值正算子值函数符号G (z)的Toeplitz算子的有界性与紧性的几个等价条件。第二部分研究了单位圆盘■上正规权Bergman空间A_β~2上符号在L~∞上的Toeplitz算子的本性范数,算子A的本性范数表示为■,其中■是A_β~2上的紧算子空间,β为正规权,用■表示,Hilbert空间A_β~2是L_β~2的闭子空间,利用Toeplitz算子与紧算子集的距离以及本性范数的定义,得到了非紧Toeplitz算子本性范数的逼近公式。     

复?~∞(Γ,H)空间单位球面的相位等距延拓问题

针对一个结合Wigner定理与Tingley问题的新型问题,假设f:S_X→S_Y是在赋范空间单位球面上的满映射,且该映射是相位等距算子,则该映射的正齐次延拓相位是否等价于一个实线性等距算子?在复?~∞(Γ,H)空间单位球面上进行相关证明。研究方法是以实?~∞(Γ,H)空间上的Wigner型定理与复?~∞(Γ)空间单位球面上的相位等距延拓的结论为基础,研究在复数空间上的不同情况。得到以下结论：复?~∞(Γ,H)空间单位球面上的映射可延拓成全空间上的满相位等距,且这个映射是相位等价于一个实线性等距映射。     

Doubling Fock空间之间的正Toeplitz算子

设F~p(φ)为复平面C上的加权Fock空间,其中φ为次调和函数,ΔφdA为doubling测度.本文利用均值函数与t-Berezin变换刻画了F~p(φ)(0p∞)与F~∞(φ)之间具有正测度符号的Toeplitz算子T_μ的有界性和紧性,拓展了已有结果.     

关于算子组的本质谱

在单个算子理论中,我们知道:一个Babach空间X上的有界线性算子T为Fredholm的充分必要条件是它在X_q=l~∞(X)/P_c(X)上的诱导算子T_q为可逆。本文主要是把这一结果推广到算子组。作者证明了:有限级Banach空间复形(X~p,α~p)_(p=0)~n为Fredholm的充分必要条件是相应的复形(X_q~p,α_q~p)_(p=0)~n为正合的,这里α~p为有界的。进而得出:对于交换有界线性算子组T=(T_l,…,T~n),成立着Sp_e(T_1,…,T_n)=Sp(T_(1q),…,T_(nq))。最后利用以上结果讨论了一些算子组成为Fredholm的充分条件。     

二元m带多重向量值双正交小波包的性质

给出二元多重向量值双正交小波包的定义及其构造方法.运用矩阵理论、积分变换与算子理论,讨论了热热二元m带多重向量值双正交小波包的性质,得到向量值函数空间L2(R2,Cn)的一个新的基底.     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

An affordable accurate evaluation of the binding conformations predicted by molecular docking studies in bio-system

Franck-Condon factors bridge the gap between theoretical modeling and experimental observations for molecular electronic spectroscopy and electron transfer.Under the displaced harmonic oscillator approximation,multidimensional Franck-Condon factors are decomposed into a product of many one-dimensional(1D)Franck-Condon(FC)factors,and each 1D-FC factor is associated with one Huang-Rhys factor that determines the leading contribution of     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with