Quantitative Sobolev regularity of quasiregular maps

Francesco Di Plinio, A. Walton Green, Brett D. Wick

We quantify the Sobolev space norm of the Beltrami resolvent $(I-\mu \mathcal{B}{)}^{-1}$, where $\mathcal{B}$ is the Beurling-Ahlfors transform, in terms of the corresponding Sobolev s…