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...
Gespeichert in:
| Veröffentlicht in: | Український математичний вісник |
|---|---|
| Datum: | 2008 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2008
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/124343 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862656626788401152 |
|---|---|
| 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 |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124343 |
| 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 published earlier |
| 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 |
| work_keys_str_mv | AT bojarskibv generalbeltramiequationsandbmo AT gutlyanskiivv generalbeltramiequationsandbmo AT ryazanovvi generalbeltramiequationsandbmo |