Adams Inequality on Pinched Hadamard Manifolds

Abstract

In this article we prove the Adams type inequality for $W^{m,p}(M)$ functions, where $m$ is a positive integer less than n and $(M,g)$ is a Hadamard manifold with Ricci curvature bounded from below and sectional curvature bounded from above by a negative constant.

arXiv commentThe main theorem has been improved in this version

References in corpus (4)

• Sharp Moser-Trudinger inequalities on Riemannian manifolds with Negative curvature
• Remarks on the Moser-Trudinger inequality
• Sharp Adams and Moser-Trudinger inequalities on R^n and other spaces of infinite measure
• On a version of Trudinger-Moser inequality with Möbius shift invariance

Cited by in corpus (1)

• The Leray--Adams inequality