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

Research output: Contribution to journal › Article › peer-review

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 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.

Original language	English
Pages (from-to)	299-317
Number of pages	19
Journal	Journal of Evolution Equations
Volume	2
Issue number	3
DOIs	https://doi.org/10.1007/s00028-002-8090-1
Publication status	Published - 1 Dec 2002
Externally published	Yes

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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\}",

year = "2002",

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doi = "10.1007/s00028-002-8090-1",

language = "English",

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AU - Carron, Gilles

AU - Coulhon, Thierry

AU - Ouhabaz, E. L.Maati

PY - 2002/12/1

Y1 - 2002/12/1

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.

U2 - 10.1007/s00028-002-8090-1

DO - 10.1007/s00028-002-8090-1

M3 - Article

AN - SCOPUS:0012266420

SN - 1424-3199

VL - 2

SP - 299

EP - 317

JO - Journal of Evolution Equations

JF - Journal of Evolution Equations

IS - 3

ER -

Gaussian estimates and LP-boundedness of Riesz means

Abstract

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Gaussian estimates and L^P-boundedness of Riesz means