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Beltrami equation with coefficient in Sobolev and Besov spaces

Published 17 Apr 2012 in math.AP and math.CA | (1204.3794v1)

Abstract: Our goal in this work is to present some function spaces on the complex plane $\C$, $X(\C)$, for which the quasiregular solutions of the Beltrami equation, $\bar\partial f (z) = \mu(z) \partial f (z)$, have first derivatives locally in $X(\C)$, provided that the Beltrami coefficient $\mu$ belongs to $X(\C)$.

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