Displaying similar documents to “Riesz means on Lie groups and riemannian manifolds of nonnegative curvature”

Riesz transforms on connected sums

Gilles Carron (2007)

Annales de l’institut Fourier

Similarity:

Assume that M 0 is a complete Riemannian manifold with Ricci curvature bounded from below and that M 0 satisfies a Sobolev inequality of dimension ν > 3 . Let M be a complete Riemannian manifold isometric at infinity to M 0 and let p ∈ ( ν / ( ν - 1 ) , ν ) . The boundedness of the Riesz transform of L p ( M 0 ) then implies the boundedness of the Riesz transform of L p ( M )

Riesz transform on manifolds and Poincaré inequalitie

Pascal Auscher, Thierry Coulhon (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

We study the validity of the L p inequality for the Riesz transform when p > 2 and of its reverse inequality when 1 < p < 2 on complete riemannian manifolds under the doubling property and some Poincaré inequalities.

L-estimates for the wave equation on the Heisenberg group.

Detlef Müller, Elias M. Stein (1999)

Revista Matemática Iberoamericana

Similarity:

Let £ denote the sub-Laplacian on the Heisenberg group H. We prove that e / (1 - £) extends to a bounded operator on L(H), for 1 ≤ p ≤ ∞, when α > (d - 1) |1/p - 1/2|.