Sharp decay estimates in Lorentz spaces for nonnegative Schrödinger heat semigroups

Norisuke Ioku, Kazuhiro Ishige, Eiji Yanagida

Let $H:=-\Delta +V$ be a nonnegative Schrödinger operator on $L^2({\mathbf{R}}^N)$, where $N\ge 2$ and $V$ is a radially symmetric function decaying quadratically at the space infinity. In th…