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arXiv · 1009.2614

On reduced Beltrami equations and linear families of quasiregular mappings

Jarmo Jääskeläinen
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Abstract

This paper studies linear classes of planar quasiregular mappings. We give a positive answer to a conjecture of K. Astala, T. Iwaniec, and G. Martin (2009) on reduced Beltrami equations. Moreover, we use it to prove a Wronsky-type theorem for general linear Beltrami systems. This is a key to show that the associated Beltrami equation of a linear quasiregular family is unique.

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Jarmo Jääskeläinen. 2010-09-14. On reduced Beltrami equations and linear families of quasiregular mappings. https://doi.org/10.1515/crelle-2012-0041

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