46 citations · 339 across the 63 of their papers we have counts for
6 papers · 1 filter
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…
Analysis on Metric Spaces
Mario Bonk, Luca Capogna, Piotr Hajłasz +2
This note is a survey of Analysis on Metric spaces, in connection with the upcoming AMS Mathematics Research Communities program in June 2020.
BV functions and fractional Laplacians on Dirichlet spaces
Patricia Alonso Ruiz, Fabrice Baudoin, Li Chen +3
We study Besov critical exponents and isoperimetric and Sobolev inequalities associated with fractional Laplacians on metric measure spaces. The main tool is the theory of he…
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.…
Bounded geometry and -harmonic functions under uniformization and hyperbolization
Anders Bjorn, Jana Bjorn, Nageswari Shanmugalingam
The uniformization and hyperbolization transformations formulated by Bonk, Heinonen and Koskela in \emph{"Uniformizing Gromov Hyperbolic Spaces"}, Astérisque {\bf 270} (2001), deal…
Besov class via heat semigroup on Dirichlet spaces III: BV functions and sub-Gaussian heat kernel estimates
Patricia Alonso-Ruiz, Fabrice Baudoin, Li Chen +3
With a view toward fractal spaces, by using a Korevaar-Schoen space approach, we introduce the class of bounded variation (BV) functions in a general framework of strongly local Di…