Exceptional sets for quasiconformal mappings in general metric spaces
نویسندگان
چکیده
A theorem of Balogh, Koskela, and Rogovin states that in Ahlfors Q-regular metric spaces which support a p-Poincaré inequality, 1 ≤ p ≤ Q, an exceptional set of σ-finite (Q−p)-dimensional Hausdorff measure can be taken in the definition of a quasiconformal mapping while retaining Sobolev regularity analogous to that of the Euclidean setting. Through examples, we show that the assumption of a Poincaré inequality cannot be removed. In memoriam: Juha Heinonen (1960-2007)
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