Sharp estimates for Schrödinger groups

  • Piero D'Ancona

    Università di Roma La Sapienza, Italy
  • Fabio Nicola

    Politecnico di Torino, Italy


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. 1019–1038

DOI 10.4171/RMI/907