46 citations · 339 across the 63 of their papers we have counts for
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math.MG2022★ 3 cited
Potential theory and quasisymmetric maps between compact Ahlfors regular metric measure spaces via Besov functions: preliminary
Juha Lehrback, Nageswari Shanmugalingam
We study Besov capacities in a compact Ahlfors regular metric measure space by means of hyperbolic fillings of the space. This approach is applicable even if the space does not sup…
math.MG2022
On Carrasco Piaggio's theorem characterizing quasisymmetric maps from compact doubling spaces to Ahlfors regular spaces
Nageswari Shanmugalingam
In this note we deconstruct and explore the components of a theorem of Carrasco Piaggio, which relates Ahlfors regular conformal gauge of a compact doubling metric space to weights…
math.MG2022★ 1 cited
Conformal transformation of uniform domains under weights that depend on distance to the boundary
Ryan Gibara, Nageswari Shanmugalingam
The sphericalization procedure converts a Euclidean space into a compact sphere. In this note we propose a variant of this procedure for locally compact, rectifiably path-connected…