1 citations · 1 across the 7 of their papers we have counts for
8 papers
Differentiability of Lipschitz mappings into metric spaces: area and co-area formulas
Behnam Esmayli, Paweł Goldstein, Piotr Hajłasz
We give a self-contained exposition of metric differentiability for Lipschitz mappings from sets in Euclidean spaces into arbitrary metric spaces, together with the corresponding a…
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…
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…
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., quasisymmet…
Coarea Inequality for Monotone Functions on Metric Surfaces
Behnam Esmayli, Toni Ikonen, Kai Rajala
We study coarea inequalities for metric surfaces -- metric spaces that are topological surfaces, without boundary, and which have locally finite Hausdorff 2-measure …
Lipschitz mappings, metric differentiability, and factorization through metric trees
Behnam Esmayli, Piotr Hajłasz
Given a Lipschitz map from a cube into a metric space, we find several equivalent conditions for to have a Lipschitz factorization through a metric tree. As an application…
The Coarea Inequality
Behnam Esmayli, Piotr Hajłasz
The aim of this paper is to provide a self-contained proof of a general case of the coarea inequality, also known as the Eilenberg inequality. The result is known, but we are not a…