Journal of Evolution Equations

, Volume 2, Issue 3, pp 299–317

Gaussian estimates and Lp-boundedness of Riesz means

  • Gilles Carron
  • Thierry Coulhon
  • El-Maati Ouhabaz

Abstract.

We show that suitable upper estimates of the heat kernel are sufficient to imply the Lp boundedness of several families of operators associated with the Schrödinger group in various situations. This generalizes results by Sjöstrand and others in the Euclidean case, and by Alexopoulos in the case of Lie groups and Riemannian manifolds.

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Copyright information

© Birkhäuser Verlag Basel, 2001

Authors and Affiliations

  • Gilles Carron
    • 1
  • Thierry Coulhon
    • 2
  • El-Maati Ouhabaz
    • 3
  1. 1.Ecole Normale Supérieure de Lyon, e-mail: Gilles.Carron@math.univ-nantes.frFR
  2. 2.Université de Cergy-Pontoise, e-mail: Thierry.Coulhon@math.u-cergy.frFR
  3. 3.Université de Marne-la-Vallée, e-mail: Elmaati.Ouhabaz@math.u-bordeaux.frFR

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