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

Hrachik Mergo Hayrapetyan; Smbat Ararat Aghekyan

doi:10.52737/18291163-2019.11.7-1-14

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

Authors

Hrachik Mergo Hayrapetyan Yerevan State University
Smbat Ararat Aghekyan Yerevan State University

DOI:

https://doi.org/10.52737/18291163-2019.11.7-1-14

Keywords:

Riemann boundary value problem, weighted space, factorization, homogeneous problem, Sokhotski-Plemelj formula

Abstract

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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Published

2019-05-24 — Updated on 2022-09-15

Versions

2022-09-15 (2)
2019-05-24 (1)

Issue

Vol. 11 No. 7 (2019): On a Riemann boundary value problem for weighted spaces in the half-plane

Section

Articles

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]

H. M. Hayrapetyan and S. A. Aghekyan, “On a Riemann boundary value problem for weighted spaces in the half-plane”, Armen.J.Math., vol. 11, no. 7, pp. 1–14, Sep. 2022, doi: 10.52737/18291163-2019.11.7-1-14.