Wiener-Hopf Factorization of a Class of Matrix Functions and Corona Theorem  

作　　者：GUO Guoan DU Jinyuan 

机构地区：[1]School of Mathematics and Statistics, Wuhan University,Wuhan 430072, Hubei, China

出　　处：《Wuhan University Journal of Natural Sciences》2009年第1期1-5,共5页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China(10471107);the Specialized Research Fund for the Doctoral Program of Higher Education of China (20060486001)

摘　　要：By using the Riemann-Hilbert method and the Corona theorem, Wiener-Hopf factorization for a class of matrix functions is studied. Under appropriate assumption, a sufficient and neces- sary condition for the existence of the matrix function admitting canonical factorization is obtained and the solution to a class of non-linear Riemann-Hilbert problems is also given. Furthermore, by means of non-standard Corona theorem partial estimation of the general factorization can be obtained.By using the Riemann-Hilbert method and the Corona theorem, Wiener-Hopf factorization for a class of matrix functions is studied. Under appropriate assumption, a sufficient and neces- sary condition for the existence of the matrix function admitting canonical factorization is obtained and the solution to a class of non-linear Riemann-Hilbert problems is also given. Furthermore, by means of non-standard Corona theorem partial estimation of the general factorization can be obtained.

关 键 词：Riemann-Hilbert problem Hardy space Corona theorem canonical factorization projector operator 

分 类 号：O151.21[理学—数学] O151.2[理学—基础数学]