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math.AP2026

Sharp trace inequalities for conformally invariant fractional powers of the sublaplacian on the Heisenberg group and the CR sphere

Qiaohua Yang, Leyuan Yu

We establish sharp Sobolev trace inequalities for conformally invariant fractional powers of the sublaplacian on the Heisenberg group and the CR sphere, extending the corresponding…

math.AP2024

Sharp Moser-Trudinger inequalities on Riemannian manifolds with Negative curvature

Qiaohua Yang, Dan Su, Yinying Kong

Let be a complete, simply connected Riemannian manifold with negative curvature. We obtain some Moser-Trudinger inequalities with sharp constants on .