On the boundary-value problems for quasiconformal functions in the plane

• Published in: Український математичний вісник
• Date: 2015
• Main Authors: Gutlyanskii, V.Y., Ryazanov, V.I., Yefimushkin, A.S.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/140873
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the boundary-value problems for quasiconformal functions in the plane / V.Y. Gutlyanskii, V.I. Ryazanov, A.S. Yefimushkin // Український математичний вісник. — 2015. — Т. 12, № 3. — С. 363-389. — Бібліогр.: 29 назв. — англ.

Generalized solvability of the classical boundary value problems for analytic and quasiconformal functions in arbitrary Jordan domains with boundary data that are measurable with respect to the logarithmic capacity is established. Moreover, it is shown that the spaces of the found solutions have the...