On the boundary-value problems for quasiconformal functions in the plane
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...
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| Published in: | Український математичний вісник |
|---|---|
| Date: | 2015 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/140873 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862708835740811264 |
|---|---|
| author | Gutlyanskii, V.Y. Ryazanov, V.I. Yefimushkin, A.S. |
| author_facet | Gutlyanskii, V.Y. Ryazanov, V.I. Yefimushkin, A.S. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | 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 infinite dimension. Finally, some applications to the boundary value problems for A-harmonic functions are given.
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| first_indexed | 2025-12-07T17:13:34Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-140873 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T17:13:34Z |
| publishDate | 2015 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Gutlyanskii, V.Y. Ryazanov, V.I. Yefimushkin, A.S. 2018-07-17T14:16:09Z 2018-07-17T14:16:09Z 2015 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. 1810-3200 2010 MSC: 31A05, 31A20, 31A25, 31B25, 35Q15, 30E25, 31C05, 35F45 https://nasplib.isofts.kiev.ua/handle/123456789/140873 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 infinite dimension. Finally, some applications to the boundary value problems for A-harmonic functions are given. en Інститут прикладної математики і механіки НАН України Український математичний вісник On the boundary-value problems for quasiconformal functions in the plane Article published earlier |
| spellingShingle | On the boundary-value problems for quasiconformal functions in the plane Gutlyanskii, V.Y. Ryazanov, V.I. Yefimushkin, A.S. |
| title | On the boundary-value problems for quasiconformal functions in the plane |
| title_full | On the boundary-value problems for quasiconformal functions in the plane |
| title_fullStr | On the boundary-value problems for quasiconformal functions in the plane |
| title_full_unstemmed | On the boundary-value problems for quasiconformal functions in the plane |
| title_short | On the boundary-value problems for quasiconformal functions in the plane |
| title_sort | on the boundary-value problems for quasiconformal functions in the plane |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/140873 |
| work_keys_str_mv | AT gutlyanskiivy ontheboundaryvalueproblemsforquasiconformalfunctionsintheplane AT ryazanovvi ontheboundaryvalueproblemsforquasiconformalfunctionsintheplane AT yefimushkinas ontheboundaryvalueproblemsforquasiconformalfunctionsintheplane |