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General Beltrami equations and BMO
We study the Beltrami equations ∂f = μ(z)∂f + ν(z)∂f under the assumption that the coefficients μ, ν satisfy the inequality |μ| + |ν| < 1 almost everywhere. Sufficient conditions for the existence of homeomorphic ACL solutions to the Beltrami equations are given in terms of the bounded mean oscil...
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Інститут прикладної математики і механіки НАН України
2008
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Series: | Український математичний вісник |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/124343 |
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irk-123456789-1243432017-09-24T03:03:11Z General Beltrami equations and BMO Bojarski, B.V. Gutlyanskii, V.V. Ryazanov, V.I. We study the Beltrami equations ∂f = μ(z)∂f + ν(z)∂f under the assumption that the coefficients μ, ν satisfy the inequality |μ| + |ν| < 1 almost everywhere. Sufficient conditions for the existence of homeomorphic ACL solutions to the Beltrami equations are given in terms of the bounded mean oscillation by John and Nirenberg. 2008 Article General Beltrami equations and BMO / B.V. Bojarski, V.V. Gutlyanskii, V.I. Ryazanov // Український математичний вісник. — 2008. — Т. 5, № 3. — С. 305-326. — Бібліогр.: 38 назв. — англ. 1810-3200 2000 MSC. 30C65, 30C75. http://dspace.nbuv.gov.ua/handle/123456789/124343 en Український математичний вісник Інститут прикладної математики і механіки НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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English |
description |
We study the Beltrami equations ∂f = μ(z)∂f + ν(z)∂f under the assumption that the coefficients μ, ν satisfy the inequality |μ| + |ν| < 1 almost everywhere. Sufficient conditions for the existence of homeomorphic ACL solutions to the Beltrami equations are given in terms of the bounded mean oscillation by John and Nirenberg. |
format |
Article |
author |
Bojarski, B.V. Gutlyanskii, V.V. Ryazanov, V.I. |
spellingShingle |
Bojarski, B.V. Gutlyanskii, V.V. Ryazanov, V.I. General Beltrami equations and BMO Український математичний вісник |
author_facet |
Bojarski, B.V. Gutlyanskii, V.V. Ryazanov, V.I. |
author_sort |
Bojarski, B.V. |
title |
General Beltrami equations and BMO |
title_short |
General Beltrami equations and BMO |
title_full |
General Beltrami equations and BMO |
title_fullStr |
General Beltrami equations and BMO |
title_full_unstemmed |
General Beltrami equations and BMO |
title_sort |
general beltrami equations and bmo |
publisher |
Інститут прикладної математики і механіки НАН України |
publishDate |
2008 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/124343 |
citation_txt |
General Beltrami equations and BMO / B.V. Bojarski, V.V. Gutlyanskii, V.I. Ryazanov // Український математичний вісник. — 2008. — Т. 5, № 3. — С. 305-326. — Бібліогр.: 38 назв. — англ. |
series |
Український математичний вісник |
work_keys_str_mv |
AT bojarskibv generalbeltramiequationsandbmo AT gutlyanskiivv generalbeltramiequationsandbmo AT ryazanovvi generalbeltramiequationsandbmo |
first_indexed |
2023-10-18T20:46:13Z |
last_indexed |
2023-10-18T20:46:13Z |
_version_ |
1796151063332519936 |