The sharp upper bounds for the first positive eigenvalue of the Kohn-Laplacian on compact strictly pseudoconvex hypersurfaces

Song-Ying Li, Guijuan Lin, Duong Ngoc Son

We give sharp and explicit upper bounds for the first positive eigenvalue ${\lambda }_1({\square }_b)$ of the Kohn-Laplacian on compact strictly pseudoconvex hypersurfaces in ${\mathbb{C}}^{n+1}$ i…