5 citations · 11 across the 9 of their papers we have counts for
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On homogeneous Newton-Sobolev spaces of functions in metric measure spaces of uniformly locally controlled geometry
Ryan Gibara, Ilmari Kangasniemi, Nageswari Shanmugalingam
We study the large-scale behavior of Newton-Sobolev functions on complete, connected, proper, separable metric measure spaces equipped with a Borel measure with …
Sharp Hausdorff content estimates for accessible boundaries of domains in metric measure spaces of controlled geometry
Sylvester Eriksson-Bique, Ryan Gibara, Riikka Korte +1
We give a sharp Hausdorff content estimate for the size of the accessible boundary of any domain in a metric measure space of controlled geometry, i.e., a complete metric space equ…
Traces of Newton-Sobolev functions on the visible boundary of domains in doubling metric measure spaces supporting a -Poincaré inequality
Sylvester Eriksson-Bique, Ryan Gibara, Riikka Korte +1
We consider the question of whether a domain with uniformly thick boundary at all locations and at all scales has a large portion of its boundary visible from the interior; here, "…
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…
Accessible parts of the boundary for domains in metric measure spaces
Ryan Gibara, Riikka Korte
We prove in the setting of --Ahlfors regular PI--spaces the following result: if a domain has uniformly large boundary when measured with respect to the --dimensional Hausdor…