An interpolation of Hardy inequality and Moser-Trudinger inequality on Riemannian manifolds with negative curvature

Authors
Dong, Yan Qing Yang, Qiao Hua
Citation
Dong, Yan Qing et Yang, Qiao Hua, An interpolation of Hardy inequality and Moser-Trudinger inequality on Riemannian manifolds with negative curvature, Acta mathematica Sinica. English series (Print) , 32(7), 2016, pp. 856-866
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
32
Issue
7
Year of publication
2016
Pages
856 - 866
Database
ACNP
SICI code
Abstract
Let M be a complete, simply connected Riemannian manifold with negative curvature. We obtain an interpolation of Hardy inequality and Moser.Trudinger inequality on M. Furthermore, the constant we obtain is sharp.