Let H:=-δ+V be a nonnegative Schrödinger operator on L2(RN), where N≥2 and V be a radially symmetric function decaying quadratically at the space infinity. In this paper we consider the Schrödinger heat semigroup e-tH and make a complete table of the decay rates of the operator norms of e-tH in the Lorentz spaces as t→∞.
- Lorentz spaces
- Quadratically decaying potential
- Schrödinger heat semigroups
ASJC Scopus subject areas
- Applied Mathematics