Journal of Evolution Equations

, Volume 2, Issue 3, pp 299–317

Gaussian estimates and Lp-boundedness of Riesz means

Authors

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

DOI: 10.1007/s00028-002-8090-1

Cite this article as:
Carron, G., Coulhon, T. & Ouhabaz, E. J.evol.equ. (2002) 2: 299. doi:10.1007/s00028-002-8090-1

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