On the Solvability of Riemann–Hilbert Problem in the Weighted Smirnov Classes

被引:0
|
作者
S. R. Sadigova
A. E. Guliyeva
机构
[1] Institute of Mathematics and Mechanics of NAS of Azerbaijan,
[2] Ganja State University,undefined
来源
Analysis Mathematica | 2018年 / 44卷
关键词
the weighted Smirnov classes; the Riemann–Hilbert boundary value problem; 30E25; 30D55; 32A55;
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摘要
In this paper the Riemann–Hilbert problem of the theory of analytic functions in weighted Smirnov classes is considered. Under certain conditions on the coefficients, the Noetherness of this problem is proved. In the case of solvability general solutions of homogeneous and also non-homogeneous Riemann–Hilbert problem are constructed. As sufficient condition on the weight function for the solvability of the corresponding problems is obtained.
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页码:587 / 603
页数:16
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