A CLASS OF COMPOUND VECTOR-VALUED PROBLEM AND FACTORIZATION OF MATRIX FUNCTION  

作　　者：郭国安 杜金元 

机构地区：[1]School of Natural Sciences,Nanjing University of Posts and Telecommunications [2]School of Mathematics and Statistics,Wuhan University

出　　处：《Acta Mathematica Scientia》2010年第1期173-179,共7页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(10471107);RFDP of Higher Education(20060486001)

摘　　要：In this article, we consider a class of compound vector-valued problem on upper-half plane C＋, which consists of vector Riemann problem along a closed contour in C＋ with matrix coefficient in H61der class and vector Hilbert problem on the real axis with essential bounded measurable matrix coefficient. Under appropriate assumption we obtain its solution by use of Corona theorem and factorization of matrix functions in decomposed Banach algebras.In this article, we consider a class of compound vector-valued problem on upper-half plane C＋, which consists of vector Riemann problem along a closed contour in C＋ with matrix coefficient in H61der class and vector Hilbert problem on the real axis with essential bounded measurable matrix coefficient. Under appropriate assumption we obtain its solution by use of Corona theorem and factorization of matrix functions in decomposed Banach algebras.

关 键 词：compound vector-valued problem Corona theorem canonical factorization Hardy space 

分 类 号：O177[理学—数学]