4 papers
Exceptional Sets for Quasiconformal Mappings in General Metric Spaces II
Behnam Esmayli, Pekka Koskela, Khanh Nguyen
A homemorphism between domains in , is quasiconformal, with its intricate analytic and geometric consequences, if the (pointwise) linear dilatation -- a purel…
On Removable Sets for Weighted Sobolev Functions
Behnam Esmayli, Riddhi Mishra
We give sufficient geometric conditions, not involving capacities, for a compact null set to be removable for the Sobolev functions on weighted , defined as the closur…
Conformal Uniformization of Domains Bounded by Quasitripods
Behnam Esmayli, Kai Rajala
We prove Koebe's conjecture and a version of Schramm's cofat uniformization theorem for domains satisfying conditions involving quasitripods, i.e., quasisymme…
On Carrasco Piaggio's theorem connecting combinatorial modulus and Ahlfors regular conformal dimension
Behnam Esmayli, Ryan Schardine, Nageswari Shanmugalingam
The goal of this paper is to provide an expository description of a result of Carrasco Piaggio connecting the Ahlfors regular conformal dimension of a compact uniformly perfect dou…