8 citations · 19 across the 8 of their papers we have counts for
5 papers · 1 filter
Isoperimetric and Poincaré inequalities on non-self-similar Sierpiński sponges: the borderline case
Sylvester Eriksson-Bique, Jasun Gong
In this paper we construct a large family of examples of subsets of Euclidean space that support a 1-Poincaré inequality yet have empty interior. These examples are formed from an…
Almost uniform domains and Poincaré inequalities
Sylvester Eriksson-Bique, Jasun Gong
Here we show existence of numerous subsets of Euclidean and metric spaces that, despite having empty interior, still support Poincaré inequalities. Most importantly, our methods do…
The Lip-lip condition on metric measure spaces
Jasun Gong
On complete metric spaces that support doubling measures, we show that the validity of a Rademacher theorem for Lipschitz functions can be characterised by Keith's "Lip-lip" condit…
Rigidity of Derivations in the Plane and in Metric Measure Spaces
Jasun Gong
Following Weaver we study generalized differential operators, called (metric) derivations, and their linear algebraic properties. In particular, for k = 1, 2 we show that measures…
Measurable Differentiable Structures on Doubling Metric Spaces
Jasun Gong
On metric spaces equipped with doubling measures, we prove that a differentiability theorem holds for Lipschitz functions if and only if the space supports nontrivial (metric) deri…