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Characterizations for quasiconformal weighted Bergman spaces
We establish characterizations of planar quasiconformal mappings in weighted Bergman spaces $A_α^p(\mathbb D)$. For $p>0$ and $α>-1$, our characterization involves the convergence of certain integrals involving superlevel set areas, the Hausdorff measure of boundary superlevel sets, and the averaged
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