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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…
math.AP2023
The optimal constant in the Folland-Stein inequality on the H-type group
Qiaohua Yang
We determine the optimal constant in the Folland-Stein inequality on the H-type group, which partially confirms the conjecture given by Garofalo and Vassilev (Duke Math. J.…