4 citations · 8 across the 5 of their papers we have counts for
8 papers
Hyperbolic Distance versus Quasihyperbolic Distance in Plane Domains
David A Herron, Jeff Lindquist
We examine Euclidean plane domains with their hyperbolic or quasihyperbolic distance. We prove that the associated metric spaces are quasisymmetrically equivalent if and only if th…
Traces and extensions of certain weighted Sobolev spaces on and Besov functions on Ahlfors regular compact subsets of
Jeff Lindquist, Nageswari Shanmugalingam
The focus of this paper is on Ahlfors -regular compact sets such that, for each , the weighted measure given by integrating the density…
Rough isometry between Gromov hyperbolic spaces and uniformization
Jeff Lindquist, Nageswari Shanmugalingam
In this note we show that given two complete geodesic Gromov hyperbolic spaces that are roughly isometric and , either the uniformization of both spaces with paramet…
Vertical quasi-isometries and branched quasisymmetries
Jeff Lindquist, Pekka Pankka
We introduce a class of mappings called vertical quasi-isometries and show that branched quasisymmetries of Guo and Williams between compact, bounded turning metric doubli…
Carathéodory-type extension theorem with respect to prime end boundaries
Joshua Kline, Jeff Lindquist, Nageswari Shanmugalingam
We prove a Carathéodory-type extension of BQS homeomorphisms between two domains in proper, locally path-connected metric spaces as homeomorphisms between their prime end closures.…
Weak Capacity and Critical Exponents
Jeff Lindquist
We investigate critical exponents relating to weak capacity in Ahlfors regular metric measure spaces. This allows a proof of a weak capacity version of a result by Bonk and Kleiner…