no. 1
Littlewood-Paley decompositions on manifolds with ends
Bulletin de la Société Mathématique de France, Volume 138 (2010) no. 1, pp. 1-37.

For certain non compact Riemannian manifolds with ends which may or may not satisfy the doubling condition on the volume of geodesic balls, we obtain Littlewood-Paley type estimates on (weighted) L p spaces, using the usual square function defined by a dyadic partition.

Pour certaines variétés riemanniennes à bouts, satisfaisant ou non la condition de doublement de volume des boules géodésiques, nous obtenons des décompositions de Littlewood-Paley sur des espaces L p (à poids), en utilisant la fonction carrée usuelle définie via une partition dyadique.

DOI: 10.24033/bsmf.2584
Classification: 42B20, 42B25, 58J40
Keywords: Littlewood-Paley decomposition, square function, manifolds with ends, semiclassical analysis
Mot clés : décomposition de Littlewood-Paley, fonction carrée, variétés à bouts, analyse semi-classique 
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     title = {Littlewood-Paley decompositions on manifolds with ends},
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Bouclet, Jean-Marc. Littlewood-Paley decompositions on manifolds with ends. Bulletin de la Société Mathématique de France, Volume 138 (2010) no. 1, pp. 1-37. doi : 10.24033/bsmf.2584. http://www.numdam.org/articles/10.24033/bsmf.2584/

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