3 papers
math.AP2024
Sharp fractional Sobolev and related inequalities on H-type groups
Yaojun Wang, Qiaohua Yang
We determine the sharp constants for the fractional Sobolev inequalities associated with the conformally invariant fractional powers of the sublaplacian on…
math.DG2023
Conformally Covariant Boundary Operators and Sharp Higher Order Sobolev Trace Inequalities on Poincaré-Einstein Manifolds
Joshua Flynn, Guozhen Lu, Qiaohua Yang
In this paper we introduce conformally covariant boundary operators for Poincaré-Einstein manifolds satisfying a mild spectral assumption. Using these boundary operators we set up…
math.AP2023
Trudinger-Moser and Hardy-Trudinger-Moser inequalities for the Aharonov-Bohm Magnetic field
Guozhen Lu, Qiaohua Yang
The main results of this paper concern sharp constant of the Trudinger-Moser inequality in for Aharonov-Bohm magnetic fields. This is a borderline case of the Hard…