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Littlewood-Paley decompositions on manifolds with ends

Littlewood-Paley decompositions on manifolds with ends

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.