期刊：
Journal of Mathematical Analysis and Applications,2006年322(2):873-885 ISSN：0022-247X
通讯作者：
Le, Hung Viet
作者机构：
[Le, Hung Viet] SW Oklahoma State Univ, Dept Math, Weatherford, OK 73096 USA.;Jackson State Univ, Dept Math, Jackson, MS 39217 USA.;Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA.;Cent China Huazhong Normal Univ, Dept Math, Wuhan 430074, Peoples R China.
通讯机构：
[Le, Hung Viet] S;SW Oklahoma State Univ, Dept Math, Weatherford, OK 73096 USA.
关键词：
singular integrals;Hardy spaces on spheres;maximal operators;Sobolev spaces;SINGULAR INTEGRALS;KERNELS;CONVOLUTION;SURFACES
摘要：
We study certain hypersingular integrals F-Omega,F-alpha,F-beta f defined on all test functions f is an element of P(R-n), where the kernel of the operator F-Omega,F-alpha,F-beta has a strong singularity vertical bar y vertical bar(-n-alpha) (alpha > 0) at the origin, an oscillating factor e(i vertical bar y vertical bar-beta) (beta > 0) and a distribution Omega is an element of H-r(Sn-1), 0 < r < 1. We show that F-Omega,F-alpha,F-beta extends to a bounded linear operator from the Sobolev space L-gamma(P) boolean AND L-P to the Lebesgue space L-P for beta/(beta - alpha) < p < beta/alpha, if y the distribution Q is in the Hardy space H-r(Sn-1) with 0 < r = (n - 1)/(n - 1 + gamma) (0 < y <= alpha) and beta > 2 alpha > 0. (c) 2005 Elsevier Inc. All rights reserved.
期刊：
Journal of Differential Equations,2006年222(2):263-296 ISSN：0022-0396
通讯作者：
Sun, WJ
作者机构：
[Sun, WJ; Jiang, S] LCP, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, China;[Guo, ZH] LCP, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, China<&wdkj&>Laboratory of Nonlinear Analysis, Department of Mathematics, Huazhong Normal University, Wuhan, 430079, China
通讯机构：
[Sun, WJ ] ;Inst Appl Phys & Computat Math, LCP, POB 8009, Beijing 100088, Peoples R China.
摘要：
We prove the existence of global weak solutions to the Navier-Stokes equations for compressible isentropic fluids for any gamma > 1 when the Cauchy data are helically symmetric, where the constant gamma is the specific heat ratio. Moreover, a new integrability estimate of the density in any neighborhood of the symmetry axis (the singularity axis) is obtained, (c) 2005 Elsevier Inc. All rights reserved.
作者机构：
[张韬; 熊惠民; 应时] State Key Laboratory of Software Engineering, Wuhan University, Wuhan 430072, China;[虞莉娟] School of Automation, Wuhan University of Technology, Wuhan 430070, China;[熊惠民] Department of Mathematics and Statistics, Huazhong Normal University, Wuhan 430070, China;[熊惠民] Computer School, Wuhan University, Wuhan 430072, China
通讯机构：
State Key Laboratory of Software Engineering, Wuhan University, China
作者机构：
Department of Statistics, Huazhong Normal University, Wuhan 430079, China;[郑忠国] School of Mathematical Sciences, Peking University, Beijing 100871, China;[许静] School of Information, University of International Business and Economics, Beijing 100029, China;[赵慧] Department of Statistics, Huazhong Normal University, Wuhan 430079, China, School of Mathematical Sciences, Peking University, Beijing 100871, China
通讯机构：
[Zhao, H.] D;Department of Statistics, Huazhong Normal University, China
作者机构：
[刘宏伟; 曾武] School of Mathematics and Statistics, Central China Normal University, Wuhan 430079;[刘宏伟; 曾武] Department of Electrical and Information Engineering, Wuhan Polytechnic University, 430023
会议名称：
第十一届全国青年通信学术会议
会议时间：
2006-07
会议地点：
中国四川绵阳
会议论文集名称：
2006通信理论与技术新进展——第十一届全国青年通信学术会议论文集
关键词：
doubly even code;product of codes;tensor product of codes;linear code
摘要：
<正>Let C1 and C2 be two linear doubly even codes over finite field F, where F’s characteristic is 2. This paper proves that the two doubly even codes’ product and their tensor product are also doubly even codes.
摘要：
定义在图G上的一个函数f:V(G)→{-1,0,1},如果在任何一点的开领域的权和至少为1,则称f是一个全负控制函数(简记为(MTDF).对一个全负控制函数f而言,如果不存在一个全负控制函数g:V(G)→{-1,0,1},f≠g,对每个点v∈V(G),有g(v)≤f(v),则称f是极小的.一个MTDF f 的权是指其所有点函数值的总和.图G的全负控制数是G的极小MTDF的最小权,而图G的上全负控制数是G的极小MTDF的最大权.本文主要研究这两个参数,得到它们的一些界的结论.
