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

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scientific article; zbMATH DE number 86116
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Normal solutions of the Beltrami equation for bounded analytic functions
scientific article; zbMATH DE number 86116

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    Normal solutions of the Beltrami equation for bounded analytic functions (English)
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    26 January 1993
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    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.
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    Beltrami equation
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