ON THE PARTICULAR SOLUTION OF THE NONHOMOGENEOUS RIEMANN PROBLEM IN THE WEIGHTED SMIRNOV CLASSES WITH THE GENERAL WEIGHT

被引：2
作者：
Sadigova, Sabina R. [1 ]
机构：
[1] NAS Azerbaijan, Inst Math & Mech, Baku, Azerbaijan
来源：
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2020年 / 46卷 / 02期
关键词：
Riemann problem; Smirnov classes; weight function; BOUNDARY-VALUE-PROBLEMS; SOLVABILITY;
D O I：
10.29228/proc.32
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work the nonhomogeneous Riemann problem of the theory of analytic functions with a piecewise Holder coefficient in weighted Smirnov classes with a general weight is considered. The sufficient conditions on the coefficient of the problem and on the weight function are found, so that the considered Cauchy type integral has been a particular solution to this problem.
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页码：272 / 283
页数：12
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