2 papers
math.AP2025
Riesz transform, function spaces and their applications on infinite dimensional compact groups
Alexander Bendikov, Li Chen, Laurent Saloff-Coste
On a compact connected group , consider the infinitesimal generator of a central symmetric Gaussian convolution semigroup . We establish several regularity res…
math.PR2024
The Boundary Harnack Principle and the 3G Principle in Fractal-Type Spaces
Anthony Graves-McCleary, Laurent Saloff-Coste
We prove a generalized version of the Principle for Green's functions on bounded inner uniform domains in a wide class of Dirichlet spaces. In particular, our results apply to…