Riesz transforms on connected sums
Riesz transforms on connected sums
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 …