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 o...

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Published in:Український математичний вісник
Date:2008
Main Authors: Bojarski, B.V., Gutlyanskii, V.V., Ryazanov, V.I.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2008
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/124343
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Bojarski, B.V.
Gutlyanskii, V.V.
Ryazanov, V.I.
author_facet Bojarski, B.V.
Gutlyanskii, V.V.
Ryazanov, V.I.
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.
collection DSpace DC
container_title Український математичний вісник
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.
first_indexed 2025-12-02T04:55:05Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1810-3200
language English
last_indexed 2025-12-02T04:55:05Z
publishDate 2008
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Bojarski, B.V.
Gutlyanskii, V.V.
Ryazanov, V.I.
2017-09-23T19:23:55Z
2017-09-23T19:23:55Z
2008
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.
https://nasplib.isofts.kiev.ua/handle/123456789/124343
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.
The research of the third author was partially supported by the Ukrainian State Foundation of Fundamental Investigations (FFI), Grant number F25.1/055.
en
Інститут прикладної математики і механіки НАН України
Український математичний вісник
General Beltrami equations and BMO
Article
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spellingShingle General Beltrami equations and BMO
Bojarski, B.V.
Gutlyanskii, V.V.
Ryazanov, V.I.
title 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_short General Beltrami equations and BMO
title_sort general beltrami equations and bmo
url https://nasplib.isofts.kiev.ua/handle/123456789/124343
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AT gutlyanskiivv generalbeltramiequationsandbmo
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