Acta mathematica scientia, Series B >
A CLASS OF COMPOUND VECTOR-VALUED PROBLEM AND FACTORIZATION OF MATRIX FUNCTION
Received date: 2007-01-13
Revised date: 2007-12-30
Online published: 2010-01-20
Supported by
Project supported by the National Natural Science Foundation of China (10471107)and RFDP of Higher Education (20060486001).
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 Hölder 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.
GUO Guo-An , DU Jin-Yuan . A CLASS OF COMPOUND VECTOR-VALUED PROBLEM AND FACTORIZATION OF MATRIX FUNCTION[J]. Acta mathematica scientia, Series B, 2010 , 30(1) : 173 -179 . DOI: 10.1016/S0252-9602(10)60034-3
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