Publication Details:
Journal or Publication Title:
Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես
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Title:
On a Riemann boundary value problem for weighted spaces in the half-plane
Creator:
Aghekyan, Smbat ; Hrachik M. Hayrapetyan
Contributor(s):
Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան
Subject:
Uncontrolled Keywords:
Riemann boundary value problem ; weighted space ; factorization ; homogeneous problem ; Sokhotski-Plemelj formula
Coverage:
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.
Publisher:
National Academy of Sciences of Armenia
Date created:
Type:
Format:
General note:
Electronic Open Access Publication of the National Academy of Sciences of Armenia
Digitization:
ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան