Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Normal solutions of the Beltrami equation for bounded analytic functions - MaRDI portal

Normal solutions of the Beltrami equation for bounded analytic functions (Q1195894)

From MaRDI portal





scientific article; zbMATH DE number 86116
Language Label Description Also known as
English
Normal solutions of the Beltrami equation for bounded analytic functions
scientific article; zbMATH DE number 86116

    Statements

    Normal solutions of the Beltrami equation for bounded analytic functions (English)
    0 references
    0 references
    0 references
    26 January 1993
    0 references
    This is a continuation of the author's earlier papers [J. Math. Anal. Appl. 125, 247-257 (1987; Zbl 0625.30020); Normal solutions of the Beltrami equation II, J. Math. Anal. Appl. (to appear)]. Here, the authors consider the Beltrami equation \({{\partial f} \over {\partial \overline z}}=\mu{{\partial f} \over {\partial z}}\) for \(\mu=z^ k G(\overline{z})\chi_ D\), where \(G(z)=g'(z)\), with \(g'\) an analytic function from \(D\) into itself having a zero at \(z=0\) order \(\geq| k|\), \(k\) any integer, \(D\) is the open unit disk. The normal solution of this equation is given.
    0 references
    Beltrami equation
    0 references

    Identifiers