p-值星形函数的子类

Let M_n+p-1 denote the class of functions f(z) = 1/z^p+a₀/z^p-2+a₁/z^p-2+…+a_n+p-1zⁿ+…, regular and p-valent in the annulus 0<|z|<1 and satisfying Re((D^n+p f(z))/(D^n+p-1 f(z)))-2)<-(n+p-1)/(n+p),|z|<1,n>-p where D^n+p-1 f(z)=1/z^p((z^n+2p-1f(z))/(n+p-1)!)^(n+p-1).M_n+p?M_n+p-1 is proved. Since M₀ is the subclass of p-valent meromorphically starlike functions, all functions in Mn + p-1 are p-valent meromorphically star-like functions. Further the integrals of functions in M_n+p-1, are considered.     

半 p-交换 p-群及其幂结构

<正> §1.引言有限 p-群的幂结构问题是 p-群构造理论中的一个重要问题.P.Hall 引进的正则p-群之所以重要,其根本原因就在于它具有“较好的”幂结构,从而使它具有一系列“较好的”性质.于是很自然地要向一般的有限 p-群何时具有类似于正则 p-群的幂结构(我们叫做正则幂结构)呢?本文的目的就是开始对这个问题的探讨,并且对 p=2和 d(G)=2     

p-算子空间上的框架逼近和嵌入

介绍了p-算子空间上的p-完全有界框架概念.证明了可分p-算子空间X上存在p-完全有界框架当且仅当X满足p-完全有界逼近性质当且仅当X能够p-完全可补嵌入有p-完全有界基的p-算子空间.对于满足p-完全有界逼近性质的非可分的p-算子空间,还证明了其任意可分子空间均可以p-完全同构嵌入到有p-完全有界框架的p-算子空间.     

一个关于非负矩阵的不等式

证明:若(xij)是一个元素不全为零的m×n非负矩阵,则当0相似文献   

内∑群(续)

<正> 本文是[1]的续篇.内容为:§3,内Abel p-群.本节除得出了内Abel p-群的定义关系外,还探讨了p-sylow子群P为内Abel p-群的群G,其中P为G的阶的最小质因子:§4,内可解群.     

关于幂零π-块中Bπ'-特征标个数的一个注记

Broué和Puig给出了幂零p-块的概念, 并指出了幂零p-块的存在性以及幂零p-块的一个性质:幂零p-块中仅含一个Brauer特征标. 利用Slattery, Robinson等的一些工作, 将上述思想推广到π-可分群的π-块论中, 给出了幂零π-块的合理定义, 并证明: 幂零π-块中仅含一个B_π''-特征标.     

关于p-弱亚正规算子的一个注记

对0相似文献   

可除阿贝尔p-群的自同构群

主要探讨了秩大于或者等于p-1的可除阿贝尔p-群的p-自同构群,并且得到这些p-自同构如何作用在该可除阿贝尔p-群上.这些结论有助于进一步理解Cernikov p-群的结构.     

关于p-可除kG-模的一些结论（英文）

本文研究了p-可除kG-模,这是一类由群阶的素数因子来控制的模类.利用Heller算子,证明了n次Heller算子置换非投射不可分解p-可除kG-模的同类;利用模的诱导和限制方法,证明了若H是G的强p-嵌入子群,则Green对应建立了不可分解p-可除kG-模的同构类与不可分解p-可除kH-模的同构类之间的一一对应.推广了不可分解相对投射kG-模上的Green对应.     

换位子群为P 阶群的有限P- 群的自同构群(Ⅱ)

本文给出了换位子群为p 阶群的有限p-群的自同构群的结构定理的两点应用: 其一, 直接导出某些有限p-群的自同构群的结构; 其二, 对换位子群为p 阶群的有限p-群, 确定了其自同构群的阶何时达到最大值和最小值.     

Instructions for Authors

<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China.     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

正August 10-14,2015Beijin,China The International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

FRACTIONAL INTEGRALS OF THE WEIERSTRASS FUNCTIONS： THE EXACT BOX DIMENSION

The present paper investigates the fractal structure of fractional integrals of Weierstrass functions. The ezact box dimension for such functions many important cases is established. We need to point out that, although the result itself achieved in the present paper is interesting, the new technique and method should be emphasized. These novel ideas might be useful to establish the box dimension or Hausdorff dimension (especially for the lower bounds) for more general groups of functions.     

Congruences,ideals and annihilators in standard QBCC-algebras

We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence kernels. Work on the paper was supported by Council of Czech Government No J14/98:153100011.     

English Series

正1 Aims and Scope Acta Mathematicae Applicatae Sinica(English Series)is a quarterly journal established by the Chinese Mathematical Society.The journal publishes high quality research papers from all branches of applied mathematics,particularly welcomes those from partial differential equations,computational mathematics,applied probability,mathematical finance,statistics,dynamical systems,optimization and management science.     

CHINESE ANNALS OF MATHEMATICS SERIES B Volume 35 · 2014 TOTAL CONTENTS

<正>~~     

A decomposition of continuity via ideals

A new class of sets in ideal topological spaces is introduced and using these sets, a decomposition of continuity is given.      

When a compact (countably compact) set is closed. II

We obtain (a) necessary and sufficient conditions and (b) sufficient conditions for a compact (countably compact) set to be closed in products (sequential products) and subspaces (sequential subspaces) of normal spaces. As a consequence of these, sufficient conditions are obtained for (i) the closedness of arbitrary (countable) union of closed sets and (ii) the equality of the union of the closures and the closure of the union of arbitrary (countable) families of sets in these spaces. It is also shown that these results do not hold for quotients of even T ₄,-spaces.     

ASYMPTOTIC BEHAVIOR OF ECKHOFF＇S METHOD FOR FOURIER SERIES CONVERGENCE ACCELERATION

The current paper considers the problem of recovering a function using a limited number of its Fourier coefficients. Specifically, a method based on Bernoulli-like polynomials suggested and developed by Krylov, Lanczos, Gottlieb and Eckhoff is examined. Asymptotic behavior of approximate calculation of the so-called ＂jumps＂ is studied and asymptotic L2 constants of the rate of convergence of the method are computed.