Armenian Journal of Mathematics, 11(7)
2022; 1–14
Shared with The Gufo

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

Hrachik Mergo Hayrapetyan*, Smbat Ararat Aghekyan

Received: 2024-12-11 · Published: 2022-09-15

© 2022 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
Shared article.
Original title
On a Riemann boundary value problem for weighted spaces in the half-plane
Authors
Hrachik Mergo Hayrapetyan, Smbat Ararat Aghekyan
Source journal
Armenian Journal of Mathematics, 11(7)
Published
2022-09-15
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.52737/18291163-2019.11.7-1-14

Abstract

The paper considers the Riemann boundary value problem in the half-plane in the class of functions that are C(ρ)C(ρ)-continuous with respect to the weight ρ(x)ρ(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.
1 / ? 100% Open in new tab Download Cite

Loading the full text…

Download Follow Updates