3 papers
math.SP2026
The sharp one-dimensional Lieb-Thirring inequality for the sum of eigenvalues
Larry Read
We prove that the best constant in the one-dimensional Lieb-Thirring inequality with exponent one is , confirming the Lieb-Thirring conjecture in this case.
math.AP2025
Sharp quantitative integral inequalities for harmonic extensions
Rupert L. Frank, Jonas W. Peteranderl, Larry Read
We prove a quantitative version of a sharp integral inequality by Hang, Wang, and Yan for both the Poisson operator and its adjoint. Our result has the strongest possible norm and…
math.AP2024
Concentration of eigenfunctions on singular Riemannian manifolds
Charlotte Dietze, Larry Read
We consider a compact Riemannian manifold with boundary and a metric that is singular at the boundary. The associated Laplace-Beltrami operator is of the form of a Grushin operator…