Обобшенные проиэводные и граничные своиства проиэводных интеграла Пуассона для полупространства R + k+1 (k>1)

Реэуме. Вводятся понятия обобшеннои частнои проиэводнои и обобшенного оератора Лапласа для функции многих переменных. Докаэана теоремы типа теоремы Фату о граничных своиствах частхых проиэводных интегралал Пуассона для полупространства, когда плотностя интеграла имеет обобшеннуу частнуу проиэводнуу и обобшенныи оператор Лапласа.     

L∞(A,μ)到L∞(B,ν)的最小内同构

证明如果T是L_∞(Ω₁,A,μ)到L_∞(Ω₂,B,ν)内的同构且满足‖T‖·‖T ^-1‖≤1+ε, ε∈(0,1/5),则在一定条件下‖T/T‖接近于一个等距,其误差小于6ε.     

The Erd?s–Sós Conjecture for Graphs withoutC4

Erd?s and Sós conjectured in 1963 that ifGis a graph of ordernand sizee(G) with, thenGcontains every treeTof sizek. We prove the conjecture in the case whereGdoes not contain the cycleC₄.     

自同构群阶为4p1p2···pn 的有限群

设G 是有限群, m 是已知正整数, 求解方程|Aut(G)| = m 中的有限群G 是一个难度很大的问题. 此课题的系统研究始于上世纪70 年代末. 后来陆续有包括本文作者在内的研究者对于m 是一些特殊的数时方程的求解问题进行了研究, 目前已经取得了一系列的结果. 本文在过去研究的基础上研究|Aut(G)| = 4p₁p₂···p_n 的求解问题, 并求出了全部有限群, 推广了杜妮和李世荣的结果.     

四元数代数与PO4+(V),PO4′(V)及PΩ4(V)的自同构

本文确定了正交群PO₄⁺(V),PO₄′(V)及PΩ₄(V)的自同构,指出了一类新的例外自同构的存在.从而解决了域上典型群同构理论中最后一个公开问题.     

新概念下的Sn掺杂(La1-xSrx)2Cu1-xSnxO4超导体的MÖssbauer谱研究 *

对新概念指导下而设计的 (La_1-xSr_x)2Cu_1-xSn_xO₄超导体进行了¹¹⁹Sn M_Össbauer谱研究 .对不同掺杂量样品的系统研究表明 ,M_Össbauer谱实验结果进一步证实了Sn以Sn⁴⁺价态存在并占据Cu晶位 ,不存在占据La晶位的Sn^{2 +}离子 .Sn⁴⁺离子附近的局域晶格畸变较小 ,但是随Sn掺杂量有增加趋势 .在对La₂ CuO₄母体进行Sr和Sn同时掺杂所引入的载流子对超导电性的影响存在新的机制 .在新的额外氧机制下 ,讨论了Sn掺杂所导致的额外氧对超导电性的影响 .     

关于m-HPK(n1,n2,n3,n4)-残差图

本文研究了3-维超平面完备残差图以及m 重3-维超平面完备残差图. 利用容斥原理以及集合的运算性质等方法, 分别获得了3-维超平面完备残差图和m 重3-维超平面完备残差图的最下阶以及二者的唯一极图, 将文献[1] 中定义的残差图从平面推广到超平面上.     

Embeddability of L1(μ) in dual spaces, geometry of cones and a characterization of c0

In this article we suppose that (Ω,Σ,μ) is a measure space and T an one-to-one, linear, continuous operator of L₁(μ) into the dual E′ of a Banach space E. For any measurable set A consider the image T(L⁺₁(μ_A)) of the positive cone of the space L₁(μ_A) in E′, where μ_A is the restriction of the measure μ on A. We provide geometrical conditions on the cones T(L⁺₁(μ_A)) which yield that the measure μ is atomic, i.e., that L₁(μ) is lattice isometric to , where denotes the set of atoms of μ. This result yields also a new characterization of c₀(Γ).     

Ce1+εFe4B4一维成分无公度结构的研究

本文用X射线粉末衍射和电子衍射的方法,研究了Ce-Fe-B合金中的富B相Ce_1+εFe₄B₄的晶体结构,发现该化合物具有一种罕见的晶体结构——烟囱-梯子型的一维成分无公度结构,是由两套亚结构即Fe-B亚结构和Ce亚结构所组成,两套亚结构都具有四方对称性,其点阵常数α值相同。Ce_1+εFe₄B₄在室温的点阵常数α=0.7068 nm,c_Fe-B=0.3902 nm,c_Ce=0.3440 nm。在950℃粉末淬炼后的点阵常数α=0.7065nm,c_Fe-B=0.3887 nm,c_Ce=0.3563 nm。Fe-B亚结构的空间群为P4₂/ncm,Ce亚结构的空间群为I4/mmm。     

M?ssbauer study on Sn-doped (Lal1-x,Srx)2Cu1-x,Snx,O4 superconductors under a new concept

¹¹⁹Sn M?ssbauer research is carried out on (La_1-xSr_x),Cu_1-xSn_xO₄(x = 0.075 and 0.110) superconductors which are designed under a new concept. The M?ssbauer spectra results show that Sn occupies Cu position in Sn⁴⁺ state, and there is no Sn²⁺ ion occupying La position. The local lattice deformation near Sn⁴⁺ site is small, but displays an increasing tendency with Sn doping. For La₂CuO₄ matrix, the simultaneous dopings of Sr/Sn induce holes and electrons on CuO₂ layer in a new mechanism which influences superconductivity. Under a new mechanism of extra oxygen, the extra oxygen effect of Sn-doping on superconductivity is discussed     

On the distributions of the form ∑i (δpi−δni)

We present some properties of the distributions T of the form ∑_i (δ_pi−δ_ni), with ∑_i d(p_i,n_i)<∞, which arise in the study of the 3-d Ginzburg–Landau problem; see Bourgain et al. (C. R. Acad. Sci. Paris, Ser. I 331 (2000) 119–124). We show that there always exists an irreducible representation of T. We also extend a result of Smets (C. R. Acad. Sci. Paris, Ser. I 334 (2002) 371–374) which says that T is a measure iff T can be written as a finite sum of dipoles.     

The Local Index Formula for SU q (2)

We discuss the local index formula of Connes–Moscovici for the isospectral noncommutative geometry that we have recently constructed on quantum SU(2). We work out the cosphere bundle and the dimension spectrum as well as the local cyclic cocycles yielding the index formula. (Received: January 2005)     

空间l1(Xn)中的弱紧性

本文首先讨论空间l₁(X_n)中的弱收敛性，然后给出了l₁(X_n)中弱紧性的几种等价刻画，同时对l_p(X_n)（１＜ｐ＜∞）中的弱紧性也得到了类似的结果．     

On the Emden-Fowler equation u″(t)u(t) = c1 + c2u′(t) with c1 ≥ 0, c2 ≥ 0

In this article, we study the following initial value problem for the nonlinear equation     

有限特殊射影酉群U4(q)与U5(q)的一个特征性质

设G为有限群,如对每个质数r都有|N_G(R₁)|=|N_(Un(q))(R₂)|,那么G≌U_n(q),此处R₁∈Syl_r(G),R₂∈Syl_r(U_n(q)),n=4或5.