Theorem on Closure and the Criterion of Compactness for the Classes of Solutions of the Beltrami Equations

We study the classes of regular solutions of degenerate Beltrami equations with constraints of the integral type imposed on a complex coefficient, prove the theorem on closure, and establish a criterion of compactness for these classes.

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Bibliographische Detailangaben
Datum:2013
Hauptverfasser: Lomako, T.V., Ломако, Т. В.
Format: Artikel
Sprache:Ukrainisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2013
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/2544
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:We study the classes of regular solutions of degenerate Beltrami equations with constraints of the integral type imposed on a complex coefficient, prove the theorem on closure, and establish a criterion of compactness for these classes.