论文标题
$ l^p $ bergman投影对hartogs Triangle的概括的投影$ \ mathbb {c}^{n+1} $
$L^p$ boundedness of the Bergman Projection on generalizations of the Hartogs triangle in $\mathbb{C}^{n+1}$
论文作者
论文摘要
在本文中，我们研究了一类域$ω^{n+1}_γ= \ {（z，w） <1 \} $对于$γ> 0 $，将hartogs三角形概括。对于此处考虑的域名，我们获得了伯格曼投影的界限的巨大范围。它将Edholm和McNeal \ cite {ld1}的结果推广到任何维度n。
In this paper, we investigate a class of domains $Ω^{n+1}_γ=\{(z,w)\in \mathbb{C}^n\times \mathbb{C}: |z|^γ< |w| < 1\}$ for $γ>0$ that generalizes the Hartogs triangle. We obtain a sharp range of $p$ for the boundedness of the Bergman projection on the domain considered here. It generalizes the results by Edholm and McNeal \cite{LD1} for n = 1 to any dimension n.
