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

• Date: 2013
• Main Authors: Lomako, T.V., Ломако, Т. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2544
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.