Author

A. Pandey

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Preprint Oct 2026

Length control for foliations by Jordan curves via smooth quasiconformal maps

Let $\Omega\subsetneq\mathbb C$ be a non-empty simply connected domain and $0<p<2$. Bouchala and Koskela [Proc. Amer. Math. Soc. (2024)] proved that there exists a quasiconformal map $f:\mathbb D\to\Omega$ such that $\int_0^1\ell(f(r S^1))^p\,dr<\infty$, and asked whether this conclusion holds at $p=2$, or even for eve...

A. Pandey · 0 citations

Preprint Oct 2026

Characterizations for quasiconformal weighted Bergman spaces

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

P. Koskela, Cheng-Xi Li, A. Pandey · 0 citations