63 citations · 138 across the 14 of their papers we have counts for
4 papers · 1 filter
Strong hypercontractivity and logarithmic Sobolev inequalities on stratified complex Lie groups
Nathaniel Eldredge, Leonard Gross, Laurent Saloff-Coste
We show that for a hypoelliptic Dirichlet form operator A on a stratified complex Lie group, if the logarithmic Sobolev inequality holds, then a holomorphic projection of A is stro…
Hypoelliptic heat kernel inequalities on H-type groups
Nathaniel Eldredge
We study inequalities related to the heat kernel for the hypoelliptic sublaplacian on an H-type Lie group. Specifically, we obtain precise pointwise upper and lower bounds on the h…
Gradient estimates for the subelliptic heat kernel on H-type groups
Nathaniel Eldredge
We prove the following gradient inequality for the subelliptic heat kernel on nilpotent Lie groups of H-type: where is the heat s…
Precise estimates for the subelliptic heat kernel on H-type groups
Nathaniel Eldredge
We establish precise upper and lower bounds for the subelliptic heat kernel on nilpotent Lie groups of H-type. Specifically, we show that there exist positive constants ,…