Almaz Butaev

collaborators

2 papers

math.MG2023

Construction of a Dirichlet form on metric measure spaces of controlled geometry

Almaz Butaev, Liangbing Luo, Nageswari Shanmugalingam

Given a compact doubling metric measure space $X$ that supports a $2$ -Poincaré inequality, we construct a Dirichlet form on $N^{1, 2} (X)$ that is comparable to the upper gradient en…

math.AP2022

Local vanishing mean oscillation

Almaz Butaev, Galia Dafni

We consider various notions of vanishing mean oscillation on a (possibly unbounded) domain $Ω \subset R^{n}$ , and prove an analogue of Sarason's theorem, giving sufficient co…