Beltrami equation with coefficient in Sobolev and Besov spaces

Abstract

Our goal in this work is to present some function spaces on the complex plane , X(), for which the quasiregular solutions of the Beltrami equation, ∂ f (z) = μ(z) ∂ f (z), have first derivatives locally in X(), provided that the Beltrami coefficient μ belongs to X().

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