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math.CA2019★ 1 cited
Green's functions of Paneitz and GJMS operators on hyperbolic spaces and sharp Hardy-Sobolev-Maz'ya inequalities on half spaces
Guozhen Lu, Qiaohua Yang
Using the Fourier analysis techniques on hyperbolic spaces and Green's function estimates, we confirm in this paper the conjecture given by the same authors in [43]. Namely, we pro…
math.AP2019★ 5 cited
Sharp Sobolev trace inequalities for higher order derivatives
Qiaohua Yang
Motivated by a recent work of Ache and Chang concerning the sharp Sobolev trace inequality and Lebedev-Milin inequalities of order four on the Euclidean unit ball, we derive such i…