The Calderón–Zygmund inequality on a compact Riemannian manifold

Caitlin Wang

Vol. 217 (2004), No. 1, 181–200

DOI: 10.2140/pjm.2004.217.181

Abstract

For a compact closed n-dimensional manifold, we derive the Calderón–Zygmund inequality for the Hodge Laplacian, with constants depending only on bounds on the injectivity radius, volume and the curvature operator. We obtain the Poincaré–Sobolev inequality for forms as a consequence.

Milestones

Received: 12 November 2002

Published: 1 November 2004