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Normal solutions of the Beltrami equation. II - MaRDI portal

Normal solutions of the Beltrami equation. II (Q752223)

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scientific article; zbMATH DE number 4177472
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Normal solutions of the Beltrami equation. II
scientific article; zbMATH DE number 4177472

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    Normal solutions of the Beltrami equation. II (English)
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    1990
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    For part I see the authors in ibid. 125, 247-257 (1987; Zbl 0625.30020). Let \(\mu\) be a complex function defined on the unit disk with \(| \mu | <k<1\) and consider homeomorphisms solving the Beltrami equation \[ F_{\bar z}=\mu F_ z \] we find explicit Ahlfors normal solutions for this equation for \(\mu\) of the following form \[ \mu (z,\bar z)=mz^ a\bar z^ b\chi_ D \] where m is a real number less than one in modulus, \(a+b\) is a nonnegative integer.
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    Beltrami equations
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