Object structure

Publication Details:

Established in 2008

Journal or Publication Title:

Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես

Date of publication:

2019

Volume:

11

Number:

7

ISSN:

1829-1163

Official URL:


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:

Approximations and expansions

Uncontrolled Keywords:

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

Coverage:

1-14

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:

2019-05-27

Type:

Հոդված

Format:

pdf

General note:

Electronic Open Access Publication of the National Academy of Sciences of Armenia

Digitization:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան