R. Alvarado

activity

20192026

most citedA note on metric-measure spaces supporting Poincaré inequalities

2 citations · 3 across the 13 of their papers we have counts for

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math.CA2026

On the measure of the boundary of a Hajłasz-Sobolev $(M^{1, p}, M^{1, q})$ -extension domain

Ryan Alvarado, Riddhi Mishra

We prove that the boundary of every bounded $(M^{1, p}, M^{1, q})$ -extension domain in a $Q$ -doubling metric measure space has measure zero whenever $0 < q < p < \infty$ , with the additiona…

math.CA2025

On the dimension distortion under fractionally smooth mappings

Ryan Alvarado, Efstathios Konstantinos Chrontsios Garitsis

We determine the extent to which certain classes of fractionally `smooth' continuous mappings between metric spaces distort various dimensions, including the Hausdorff, upper Minko…

On the measure of the boundary of a Hajłasz-Sobolev (M1,p,M1,q)-extension domain

On the dimension distortion under fractionally smooth mappings

On the measure of the boundary of a Hajłasz-Sobolev $(M^{1, p}, M^{1, q})$ -extension domain