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Zeitschrift für Analysis und ihre Anwendungen


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Volume 8, Issue 5, 1989, pp. 463–472
DOI: 10.4171/ZAA/366

Published online: 1989-10-31

Variationscharakterisierungen für gewisse quasikonforme Abbildungen

Erich Hoy[1]

(1) Friedberg, Germany

The paper deals with the construction of solutions $f$ for the equation $f_\bar z (z) = v(z) \bar {f_z(z)}$ with $v(z) = 0$ in a neighbourhood of $\infty$. In the paper two variational methods are described. The first method characterizes $f$ for a bounded and measurable function $v (0 \leq v(z) \leq q = \mathrm {const} < 1$. If $v$ is a piecewise constant function, then there exists also a simpler characterization of $f$.

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Hoy Erich: Variationscharakterisierungen für gewisse quasikonforme Abbildungen. Z. Anal. Anwend. 8 (1989), 463-472. doi: 10.4171/ZAA/366