On equicontinuity of solutions to the Beltrami equations
Zhytomyr State University Library
Переглянути архів Інформація| Поле | Співвідношення | |
| Relation |
http://eprints.zu.edu.ua/13947/
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| Title |
On equicontinuity of solutions to the Beltrami equations |
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| Creator |
Sevost’yanov, Е. А.
Salіmov, R. R. Lomaкo, Тatyana |
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| Subject |
Mathematical Analysis
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| Description |
It is shown that each homeomorphic W1;1 loc solution to the Beltrami equation @f = � @f is the so-called ring Q{homeomorphism with Q(z) = K�(z) where K�(z) is the dilatation quotient of this equation. On this base, it is stated equicontinuity and normality of families of such solu- tions under the conditions that K�(z) has a majorant of �nite mean oscil- lRation, singularities of logarithmic type or integral constraints of the type �(K�(z)) dx dy < 1 in a domain D � C: The found conditions on the function � are not only su�cient but also necessary for equicontinuity and normality of the corresponding families of solutions to the Beltrami equa- tion. |
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| Date |
2010
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| Type |
Article
PeerReviewed |
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| Format |
text
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| Language |
uk
english |
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| Identifier |
http://eprints.zu.edu.ua/13947/1/lomako_etal.pdf
Sevost’yanov, Е. А. and Salіmov, R. R. and Lomaкo, Тatyana (2010) On equicontinuity of solutions to the Beltrami equations. Annals of the University of Bucharest (2). pp. 263-274. |
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