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 that supports a -Poincaré inequality, we construct a Dirichlet form on that is comparable to the upper gradient en…
math.AP2023
Logarithmic Sobolev inequalities on homogeneous spaces
Maria Gordina, Liangbing Luo
We consider sub-Riemannian manifolds which are homogeneous spaces equipped with a natural sub-Riemannian structure induced by a transitive action by a Lie group. In such a setting,…