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Wiener-Hopf Factorization of a Class of Matrix Functions and Corona Theorem 被引量：1

Wiener-Hopf Factorization of a Class of Matrix Functions and Corona Theorem
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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.
作者 GUO Guoan DU Jinyuan
机构地区 School of Mathematics and Statistics
出处 《Wuhan University Journal of Natural Sciences》 CAS 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)
关键词 Riemann-Hilbert problem Hardy space Corona theorem canonical factorization projector operator Riemann-Hilbert problem Hardy space Corona theorem canonical factorization projector operator
分类号 O151.21 [理学—基础数学] O151.2 [理学—基础数学]
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参考文献10

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同被引文献13

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  • 6GOHBERG I, KRUPNIK N. One-dimensional linear singular equations volume I general theory and applications [ M ]. Boston:Birkhauser, 1992:40 - 41.
  • 7LU Jianke. Boundary value problems for analytic functions [M]. Singapore : World Scientific, 1993 : 15 - 25.
  • 8DUDUCHAVA R, CHKADUA O. Pseudo differential equations on manifolds with boundary : Fredholm property and asymptotic [ J ]. Math Nach ,2001,222( 1 ) :79 - 139.
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  • 10CASTRO L P, DUDUCHAVA R D, SPECK F O. Asymmetric factorization of matrix functions on the real line[ J]. Operator Theory: Advances and Applications,2006,170 ( 1 ) : 53 - 74.

引证文献1

Wuhan University Journal of Natural Sciences
2009年 第1期

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