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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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Main Authors: Bojarski, B.V., Gutlyanskii, V.V., Ryazanov, V.I.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2008
Series:Український математичний вісник
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/124343
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spelling 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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language 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
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first_indexed 2023-10-18T20:46:13Z
last_indexed 2023-10-18T20:46:13Z
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