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arXiv · 1204.3794

Beltrami equation with coefficient in Sobolev and Besov spaces

Victor Cruz·Joan Mateu·Joan Orobitg
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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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Victor Cruz, Joan Mateu, Joan Orobitg. 2012-04-17. Beltrami equation with coefficient in Sobolev and Besov spaces. https://doi.org/10.4153/cjm-2013-001-7

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