On the Riemann-Hilbert problem for analytic functions in circular domains
Complex Variables
2015-10-07 v1
Abstract
It is proved the existence of single-valued analytic solutions in the unit disk and multivalent analytic solutions in domains bounded by a finite collection of circles for the Riemann-Hilbert problem with coefficients of sigma-finite variation and with boundary data that are measurable with respect to logarithmic capacity. It is shown that these spaces of solutions have the infinite dimension.
Cite
@article{arxiv.1510.01513,
title = {On the Riemann-Hilbert problem for analytic functions in circular domains},
author = {A. S. Efimushkin and V. I. Ryazanov},
journal= {arXiv preprint arXiv:1510.01513},
year = {2015}
}
Comments
6 pages, in Russian