Gaussian estimates and L
p
-boundedness of Riesz means |
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| Authors: | Gilles Carron Thierry Coulhon El-Maati Ouhabaz |
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| Institution: | (1) Ecole Normale Supérieure de Lyon, e-mail: Gilles.Carron@math.univ-nantes.fr, FR;(2) Université de Cergy-Pontoise, e-mail: Thierry.Coulhon@math.u-cergy.fr, FR;(3) Université de Marne-la-Vallée, e-mail: Elmaati.Ouhabaz@math.u-bordeaux.fr, FR |
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| Abstract: | We show that suitable upper estimates of the heat kernel are sufficient to imply the L
p
boundedness of several families of operators associated with the Schr?dinger group in various situations. This generalizes
results by Sj?strand and others in the Euclidean case, and by Alexopoulos in the case of Lie groups and Riemannian manifolds.
RID="*"
ID="*"Research partially supported by the European Commission (European TMR Network "Harmonic Analysis" 1998-2001, Contract
ERBFMRX-CT97-0159). |
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| Keywords: | |
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