3 papers
math.MG2026
Sobolev spaces on snowtrees
Efstathios Konstantinos Chrontsios Garitsis, Vyron Vellis
We introduce a discrete-energy Sobolev space on Ahlfors regular snowtrees, a class of metric trees where every arc is a snowflake of the same ty…
math.MG2026
Flatness, Menger curvature, and parametrization
Guy C. David, Vyron Vellis
We show that on linearly locally contractible (LLC) manifolds, the beta numbers (which describe unilateral flatness) are comparable to the theta numbers (which describe bilateral f…
math.MG2026
Tangents to Lipschitz and Sobolev images
Matthew Badger, Jared Krandel, Vyron Vellis
We develop geometric versions of Rademacher and Calderon type differentiability theorems in two categories. A special case of our results is that for any Lipschitz or continuous $W…