Gaussian estimates and Lp-boundedness of Riesz means

被引：0
|
作者：
Gilles Carron
Thierry Coulhon
El-Maati Ouhabaz
机构：
[1] Ecole Normale Supérieure de Lyon,
[2] e-mail: Gilles.Carron@math.univ-nantes.fr,undefined
[3] Université de Cergy-Pontoise,undefined
[4] e-mail: Thierry.Coulhon@math.u-cergy.fr,undefined
[5] Université de Marne-la-Vallée,undefined
[6] e-mail: Elmaati.Ouhabaz@math.u-bordeaux.fr,undefined
来源：
Journal of Evolution Equations | 2002年 / 2卷
关键词：
Riemannian Manifold; Heat Kernel; Gaussian Estimate; Euclidean Case;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：299 / 317
页数：18
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