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

作者：Dong, Yan Qing^*; Yang, Qiao Hua

来源：Acta Mathematica Sinica-English Series, 2016, 32(7): 856-866.

DOI：10.1007/s10114-016-5129-8

• Moser-Trudinger inequality
• Hardy inequality
• Riemannian manifold
• 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.

• 出版日期2016-7
• 单位武汉大学