Carleson measures on convex domains with smooth boundary of finite type
Carleson measures on convex domains with smooth boundary of finite type
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DOI：
10.1002/mana.202200325
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发表时间：
2023-08
影响因子：
1
通讯作者：
Haichou Li;Jinsong Liu;Hongyu Wang
中科院分区：
文献类型：
--
作者：
Haichou Li;Jinsong Liu;Hongyu Wang
继M。Abate和A. Sartman关于Cn$\mathbb {C}^n$中强伪凸域的工作，我们刻画了Cn$\mathbb {C}^n$中具有有限型光滑边界的有界凸域上A2（D）$A^2（D）$的Carleson测度.我们还给出了均匀离散（相对于小林距离）序列的Carleson措施的例子。
Following M. Abate and A. Saracco's work on strongly pseudoconvex domains in Cn$\mathbb {C}^n$ , we characterize Carleson measures of A2(D)$A^2(D)$ in bounded convex domains in Cn$\mathbb {C}^n$ with smooth boundary of finite type. We also give examples of Carleson measures with uniformly discrete (with respect to the Kobayashi distance) sequences.