Nathaniel Eldredge

activity

20082025

most citedPrecise estimates for the subelliptic heat kernel on H-type groups

63 citations · 138 across the 14 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.DG2017★ 6 cited

Left-invariant geometries on $SU (2)$ are uniformly doubling

Nathaniel Eldredge, Maria Gordina, Laurent Saloff-Coste

A classical aspect of Riemannian geometry is the study of estimates that hold uniformly over some class of metrics. The best known examples are eigenvalue bounds under curvature as…

math.FA2017★ 4 cited

Strong hypercontractivity and strong logarithmic Sobolev inequalities for log-subharmonic functions on stratified Lie groups

Nathaniel Eldredge

On a stratified Lie group $G$ equipped with hypoelliptic heat kernel measure, we study the behavior of the dilation semigroup on $L^{p}$ spaces of log-subharmonic functions. We consi…

Left-invariant geometries on SU(2) are uniformly doubling

Strong hypercontractivity and strong logarithmic Sobolev inequalities for log-subharmonic functions on stratified Lie groups

Left-invariant geometries on $SU (2)$ are uniformly doubling