T. Carroll

activity

20032026

most citedWeighted composition operators on Fock spaces and their dynamics

18 citations · 79 across the 15 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

math.AP2014

Monotonicity of the first Dirichlet eigenvalue of the Laplacian on manifolds of nonpositive curvature

Tom Carroll, Jesse Ratzkin

Let $(M, g)$ be a complete manifold of nonpositive scalar curvature, let $Ω \subset M$ be a suitable domain, and let $λ (Ω)$ be the first Dirichlet eigenvalue of the Laplace-Beltrami…

math.AP2014

A reverse Holder inequality for extremal Sobolev functions

Tom Carroll, Jesse Ratzkin

Let $n \geq 2$ , let $Ω \subset R^{n}$ be a bounded domain with smooth boundary, and let $1 \leq p \leq 2$ . We prove a reverse-Holder inequality for functions $u$ realizing th…