Almaz Butaev

collaborators

2 papers

math.AP2026

Approximation of harmonic functions on metric measure spaces of controlled geometry via discrete graphs

Almaz Butaev, Liangbing Luo, Nageswari Shanmugalingam

Given a complete doubling metric measure space $X$ that supports a $2$ -Poincaré inequality, we approximate harmonic functions on a bounded domain $Ω$ with a prescribed Newton-Sobol…

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…