COMETX, Thomas

doi:10.1007/s12220-020-00569-x

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COMETX, Thomas
Institut de Mathématiques de Bordeaux [IMB]

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Article de revue

Este ítem está publicado en

The Journal of Geometric Analysis. 2021

Springer

Fecha de defensa

2021

Resumen en inglés

We study the Littlewood-Paley-Stein functions associated with Hodge-de Rham and Schrödinger operators on Riemannian manifolds. Under conditions on the Ricci curvature we prove their boundedness on L p for p in some interval (p 1 , 2] and make a link to the Riesz Transform. An important fact is that we do not make assumptions of doubling measure or estimates on the heat kernel in this case. For p > 2 we give a criterion to obtain the boundedness of the vertical Littlewood-Paley-Stein function associated with Schrödinger operators on L p .< Leer menos

URI

https://oskar-bordeaux.fr/handle/20.500.12278/192639

DOI

http://dx.doi.org/10.1007/s12220-020-00569-x

Proyecto ANR

Analyse Réelle et Géométrie - ANR-18-CE40-0012

Orígen

Importado de Hal

Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251