28 citations · 75 across the 15 of their papers we have counts for
4 papers · 1 filter
Doubling and Poincaré inequalities for uniformized measures on Gromov hyperbolic spaces
Clark Butler
We generalize the recent results of Björn-Björn-Shanmugalingam \cite{BBS20} concerning how measures transform under the uniformization procedure of Bonk-Heinonen-Koskela for Gromov…
Extension and trace theorems for noncompact doubling spaces
Clark Butler
We generalize the extension and trace results of Björn-Björn-Shanmugalingam \cite{BBS21} to the setting of complete noncompact doubling metric measure spaces and their uniformized…
Uniformization, -biLipschitz maps, sphericalization, and inversion
Clark Butler
We define -biLipschitz homeomorphisms between uniform metric spaces and show that these maps are always quasimöbius. We also show that a homeomorphism being -bi…
Uniformizing Gromov hyperbolic spaces with Busemann functions
Clark Butler
Given a complete Gromov hyperbolic space that is roughly starlike from a point in its Gromov boundary , we use a Busemann function based at to construct…