Logarithmic capacity and Riemann and Hilbert problems for generalized analytic functions

• Published in: Доповіді НАН України
• Date: 2020
• Main Authors: Gutlyanskiĭ, V.Ya., Nesmelova, O.V., Ryazanov, V.I.
• Format: Article
• Language: English
• Published: Видавничий дім "Академперіодика" НАН України 2020
• Subjects: Математика
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/173094
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Logarithmic capacity and Riemann and Hilbert problems for generalized analytic functions / V.Ya. Gutlyanskiĭ, O.V. Nesmelova, V.I. Ryazanov // Доповіді Національної академії наук України. — 2020. — № 8. — С. 11-18. — Бібліогр.: 14 назв. — англ.

The study of the Dirichlet problem with arbitrary measurable boundary data for harmonic functions in the unit disk
 is due to the famous Luzin dissertation. Later on, the known monograph of Vekua was devoted to boundary-value
 problems for generalized analytic functions, but only wit...