Gaussian estimates and LP-boundedness of Riesz means

Gilles Carron; Thierry Coulhon; E. L.Maati Ouhabaz

doi:10.1007/s00028-002-8090-1

Gaussian estimates and L^P-boundedness of Riesz means

Gilles Carron
, Thierry Coulhon
, E. L.Maati Ouhabaz

Ecole Normale Supérieure de Lyon
CY Cergy Paris Université
Université Gustave Eiffel

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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 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.

langue originale	Anglais
Pages (de - à)	299-317
Nombre de pages	19
journal	Journal of Evolution Equations
Volume	2
Numéro de publication	3
Les DOIs	https://doi.org/10.1007/s00028-002-8090-1
état	Publié - 1 déc. 2002
Modification externe	Oui

Accès au document

10.1007/s00028-002-8090-1

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Contient cette citation

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title = "Gaussian estimates and LP-boundedness of Riesz means",

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 Schr{\"o}dinger group in various situations. This generalizes results by Sj{\"o}strand and others in the Euclidean case, and by Alexopoulos in the case of Lie groups and Riemannian manifolds.",

author = "Gilles Carron and Thierry Coulhon and Ouhabaz, \{E. L.Maati\}",

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AU - Coulhon, Thierry

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N2 - 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.

AB - 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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