关于半平面上加权空间的Riemann边值问题

IF 0.5 Q3 MATHEMATICS Armenian Journal of Mathematics Pub Date : 2019-05-24 DOI:10.52737/18291163-2019.11.7-1-14

H. M. Hayrapetyan, S. Aghekyan

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引用次数: 3

摘要

当权函数具有无穷多个零时，本文考虑了关于权$\rho（x）$连续的$C（\rho）$函数类中半平面上的Riemann边值问题。建立了该问题可解的充要条件。如果问题是可解的，则解以显式形式表示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On a Riemann boundary value problem for weighted spaces in the half-plane

The paper considers the Riemann boundary value problem in the half-plane in the class of functions that are $C(\rho)$-continuous with respect to the weight $\rho(x)$, when the weight function has infinite number of zeros. Necessary and sufficient conditions for solvability of the problem are established. If the problem is solvable, solutions are represented in an explicit form.

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