Riesz Transform on Locally Symmetric Spaces and Riemannian Manifolds with a Spectral Gap

Details Riesz Transform on Locally Symmetric Spaces and Riemannian Manifolds with a Spectral Gap Riesz Transform on Locally Symmetric Spaces and Riemannian Manifolds with a Spectral Gap

2010-05-17

arxiv.org/abs/1005.2975v1

Bulletin des Sciences Math\'ematiques, Volume 134, Issue 1, 2010, 37-43

Mathematics

Spectral Theory

8 pp

Scientific paper

10.1016/j.bulsci.2009.09.003

In this paper we study the Riesz transform on complete and connected Riemannian manifolds $M$ with a certain spectral gap in the $L^2$ spectrum of the Laplacian. We show that on such manifolds the Riesz transform is $L^p$ bounded for all $p \in (1,\infty)$. This generalizes a result by Mandouvalos and Marias and extends a result by Auscher, Coulhon, Duong, and Hofmann to the case where zero is an isolated point of the $L^2$ spectrum of the Laplacian.

Affiliated with

Also associated with

No associations

Rating

Riesz Transform on Locally Symmetric Spaces and Riemannian Manifolds with a Spectral Gap does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Riesz Transform on Locally Symmetric Spaces and Riemannian Manifolds with a Spectral Gap, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Riesz Transform on Locally Symmetric Spaces and Riemannian Manifolds with a Spectral Gap will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-299508