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| FIELD | Math:Geometry |
|---|---|
| DATE | April 28 (Thu), 2022 |
| TIME | 10:00-11:00 |
| PLACE | Online |
| SPEAKER | Yan, Zetian |
| HOST | Shin, Jinwoo |
| INSTITUTE | Penn State Eberly college of Science |
| TITLE | Improved higher-order Sobolev inequalities on CR sphere. |
| ABSTRACT | We improve higher order CR Sobolev inequalities on S^{2n+1} under the vanishing of higher order moments of the volume element. As an application, we give a new and direct proof of the classification of minimizers of the CR invariant higher-order Sobolev inequalities. In the same spirit, we prove almost sharp Sobolev inequalities for GJMS operators to general CR manifolds, and obtain existence of minimizers in C^{2k}(N) of high-order CR Yamabe-type problems when Y_k(N) |
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