On reduced Beltrami equations and linear families of quasiregular mappings

Details On reduced Beltrami equations and linear families of quasiregular mappings On reduced Beltrami equations and linear families of quasiregular mappings

2010-09-14

arxiv.org/abs/1009.2614v1

Mathematics

Complex Variables

15 pages

Scientific paper

We give a positive answer to a conjecture of K. Astala, T. Iwaniec, and G.
Martin on reduced Beltrami equations. Moreover, we use it to study differential
expressions related to two-dimensional linear families of quasiregular mappings
and prove that the associated general Beltrami equation is unique.

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