کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4666290 | 1345395 | 2012 | 29 صفحه PDF | دانلود رایگان |
Let H=Cn×RH=Cn×R be the nn-dimensional Heisenberg group, Q=2n+2Q=2n+2 be the homogeneous dimension of HH, Q′=QQ−1, and ρ(ξ)=(|z|4+t2)14 be the homogeneous norm of ξ=(z,t)∈Hξ=(z,t)∈H. Then we prove the following sharp Moser–Trudinger inequality on HH (Theorem 1.6): there exists a positive constant αQ=Q(2πnΓ(12)Γ(Q−12)Γ(Q2)−1Γ(n)−1)Q′−1 such that for any pair β,αβ,α satisfying 0≤β
Journal: Advances in Mathematics - Volume 231, Issue 6, 20 December 2012, Pages 3259–3287