1 citations · 1 across the 3 of their papers we have counts for
4 papers
Regularity of Solutions to the Fractional Cheeger-Laplacian on Domains in Metric Spaces of Bounded Geometry
Sylvester Eriksson-Bique, Gianmarco Giovannardi, Riikka Korte +2
We study existence, uniqueness, and regularity properties of the Dirichlet problem related to fractional Dirichlet energy minimizers in a complete doubling metric measure space $(X…
Function Spaces via Fractional Poisson Kernel on Carnot Groups and Applications
Ali Maalaoui, Andrea Pinamonti, Gareth Speight
We provide a new characterization of homogeneous Besov and Sobolev spaces in Carnot groups using the fractional heat kernel and Poisson kernel. We apply our results to study commut…
A Whitney Extension Theorem for Horizontal Curves in the Heisenberg Group
Andrea Pinamonti, Gareth Speight, Scott Zimmerman
We characterize those mappings from a compact subset of into the Heisenberg group which can be extended to a horizontal curve in $\mathbb{H}^{…
Domains in metric measure spaces with boundary of positive mean curvature, and the Dirichlet problem for functions of least gradient
Panu Lahti, Lukas Maly, Nageswari Shanmugalingam +1
We study the geometry of domains in complete metric measure spaces equipped with a doubling measure supporting a -Poincaré inequality. We propose a notion of \emph{domain with b…