An Interpolation of Hardy Inequality and Moser-Trudinger Inequality on Riemannian Manifolds with Negative Curvature

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.

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Veröffentlicht in:	Acta mathematica Sinica. English series 2016-07, Vol.32 (7), p.856-866
Hauptverfasser:	Dong, Yan Qing, Yang, Qiao Hua
Format:	Artikel
Sprache:	eng
Schlagworte:	Constants Curvature Euclidean space Hardy不等式 Inequalities Inequality Interpolation Manifolds Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Studies Topological manifolds 插值负曲率流形黎曼流形
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Beschreibung
Zusammenfassung:	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.
ISSN:	1439-8516 1439-7617
DOI:	10.1007/s10114-016-5129-8