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

#### Armenian Journal of Mathematics

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 Field Value Title On a Riemann boundary value problem for weighted spaces in the half-plane Creator Hayrapetyan, Hrachik Mergo Aghekyan, Smbat Ararat Subject Riemann boundary value problem weighted space factorization homogeneous problem Sokhotski-Plemelj formula 41A60 68U10 Description 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. Publisher National Academy of Sciences of Armenia Date 2019-05-24 Type info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article Format application/pdf Identifier http://armjmath.sci.am/index.php/ajm/article/view/278 Source Armenian Journal of Mathematics; Vol. 11 No. 7 (2019): On a Riemann boundary value problem for weighted spaces in the half-plane; 1-14 1829-1163 Language eng Relation http://armjmath.sci.am/index.php/ajm/article/view/278/148 Rights Copyright (c) 2019 Armenian Journal of Mathematics