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

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

How to Cite

Hayrapetyan, H. M., & Aghekyan, S. A. (2019). On a Riemann boundary value problem for weighted spaces in the half-plane. Armenian Journal of Mathematics, 11(7), 1–14. Retrieved from http://armjmath.sci.am/index.php/ajm/article/view/278