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Seminar
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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