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A CLASS OF COMPOUND VECTOR-VALUED PROBLEM AND FACTORIZATION OF MATRIX FUNCTION |
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| Authors: | Guo Guoan School of Natural Sciences Nanjing University of Posts Telecommunications Nanjing China Du Jinyuan School of Mathematics Statistics Wuhan University Wuhan China |
| Institution: | [1]School of Natural Sciences, Nanjing University of Posts and Teiecommunications, Nanjing 210046, China [2]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China |
| Abstract: | In this article, we consider a class of compound vector-valued problem on upper-half plane ?+, which consists of vector Riemann problem along a closed contour in ?+ 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. |
| Keywords: | compound vector-valued problem Corona theorem canonical factorization Hardy space |
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