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math.AP2023
Sharp weighted CR trace Sobolev inequalities
Gunhee Cho, Zetian Yan
We establish a sharp Sobolev trace inequality on the Siegel domain involving the weighted norm-. The inequality is closely related the reali…
math.DG2023
Improved Sobolev inequalities on CR shpere
Zetian Yan
We establish improved CR Sobolev inequalities on CR sphere under the vanishing of higher order moments of the volume element. As a direct application, we give a simpler proof of th…