Wiener-Hopf factorization of a class of matrix functions and Corona theorem |
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Authors: | Guoan Guo Jinyuan Du |
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Institution: | (1) School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, Hubei, China |
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Abstract: | By using Riemann-Hilbert method and Corona theorem, Wiener-Hopf factorization for a class of matrix functions is studied.
Under appropriate assumption, a sufficient and necessary condition for the existence of the matrix function admitting canonical
factorization is obtained and the solution to a class of non-linear Riemann-Hilbert problem is also given. Furthermore, by
means of non-standard Corona theorem partial estimation of the general factorization can be obtained.
Foundation item: Supported by the National Natural Science Foundation of China(10471107) and the Specialized Research Fund for the Doctoral
Program of Higher Education of China (20060486001) |
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Keywords: | Riemann-Hilbert problem Hardy space Corona theorem canonical factorization projector operator |
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