| Abstract: |
| In this talk, I will discuss recent results on Moser-Trudinger inequalities on complete Riemannian
manifolds with nonnegative Ricci curvature and large volume growth. These inequalities will
feature different best constants under different norm conditions. The main tools involved in the proof are sharp asymptotic and global estimates for heat kernels and Green functions, combined with recent results on Adams inequalities on metric measure spaces, obtained in joint work with Liuyu Qin. |
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