Quasiconformal maps with thin dilatations

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Christopher J. Bishop
Stony Brook University. Mathematics Department

We give an estimate that quantifies the fact that a normalized quasiconformal map whose dilatation is non-zero only on a set of small area approximates the identity uniformly on the whole plane. The precise statement is motivated by applications of the author’s quasiconformal folding method for constructing entire functions; in particular an application to constructing transcendental wandering domains given by Fagella, Godillon, and Jarque.

Paraules clau
quasiconformal maps, conformal modulus, quasiconformal folding, Pompeiu’s formula, holomorphic dynamics

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Bishop, Christopher J. «Quasiconformal maps with thin dilatations». Publicacions Matemàtiques, 2022, vol.VOL 66, núm. 2, p. 715-27, http://raco.cat/index.php/PublicacionsMatematiques/article/view/402241.
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