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math.MG2026
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, "…
math.MG2025
Sharp conditions for preserving uniformity, doubling measure and Poincaré inequality under sphericalization
Riikka Korte, Sari Rogovin, Nageswari Shanmugalingam +1
We study sphericalization, which is a mapping that conformally deforms the metric and the measure of an unbounded metric measure space so that the deformed space is bounded. The go…