Sharp weighted CR trace Sobolev inequalities

Gunhee Cho, Zetian Yan

We establish a sharp Sobolev trace inequality on the Siegel domain ${\Omega }_{n+1}$ involving the weighted norm-$W^{2,2}({\Omega }_{n+1},{\rho }^{1-2[\gamma ]})$. The inequality is closely related the reali…