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arXiv · 1112.5573

Weighted estimates for Beltrami equations

Albert Clop·Víctor Cruz
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Abstract

We obtain a priori estimates in $L^p(ω)$ for the generalized Beltrami equation, provided that the coefficients are compactly supported $VMO$ functions with the expected ellipticity condition, and the weight $ω$ lies in the Muckenhoupt class $A_p$. As an application, we obtain improved regularity for the jacobian of certain quasiconformal mappings.

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Albert Clop, Víctor Cruz. 2011-12-23. Weighted estimates for Beltrami equations. https://arxiv.org/abs/1112.5573

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