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math.CV2026
Length control for foliations by Jordan curves via smooth quasiconformal maps
Abhishek Pandey
Let be a non-empty simply connected domain and . Bouchala and Koskela [Proc. Amer. Math. Soc. (2024)] proved that there exists a quasiconformal map $f…
math.CV2026
Characterizations for quasiconformal weighted Bergman spaces
Pekka Koskela, Chengxi Li, Abhishek Pandey
We establish characterizations of planar quasiconformal mappings in weighted Bergman spaces . For and , our characterization involves the convergence…
math.MG2026
Quasihyperbolic domains are CAT(2)
Toni Ikonen, Abhishek Pandey
We prove that every proper subdomain of the Euclidean space equipped with its quasihyperbolic metric is CAT(2). The CAT property leads to a positive resolution of Väisälä's uniquen…