Consider a non-negative self-adjoint operator in . We suppose that its heat operator satisfies an off-diagonal algebraic decay estimate, for some exponents . Then we prove sharp frequency truncated estimates for the Schrödinger group for .
In particular, our results apply to every operator of the form , with a magnetic potential and an electric potential whose positive and negative parts are in the local Kato class and in the Kato class, respectively.
Cite this article
Piero D'Ancona, Fabio Nicola, Sharp estimates for Schrödinger groups. Rev. Mat. Iberoam. 32 (2016), no. 3, pp. 1019–1038DOI 10.4171/RMI/907