Semiclassical Moser-Trudinger inequalities
arXiv:2305.01456
Abstract
We extend the Moser-Trudinger inequality of one function to systems of orthogonal functions. Our results are asymptotically sharp when applied to the collective behavior of eigenfunctions of Schrödinger operators on bounded domains.
Final version to appear in Trans. Amer. Math. Soc., 18 pages