论文标题
关于$ \ Mathbb {c}^{n} $的Carleson域测量的评论
A remark on Carleson measures of domains in $\mathbb{C}^{n}$
论文作者
论文摘要
我们在特定类别的有界伪共元域上提供了Carleson度量的特征。在Hartogs Triangles $$ $$ \ MATHBB {H} _ {K {K}的类别中给出了一个消失的Carleson测度的示例。 \ left（z_ {1}，z_ {2} \ right）\ in \ mathbb {c}^{2}^{2}：\ left | z__ {1} \ right |^{k} <\ left | Z________________ {2} \ right | <1
We provide characterizations of Carleson measures on a certain class of bounded pseudoconvex domains. An example of a vanishing Carleson measure whose Berezin transform does not vanish on the boundary is given in the class of the Hartogs triangles $$\mathbb{H}_{k}:=\left\{ \left(z_{1},z_{2}\right)\in\mathbb{C}^{2}:\left|z_{1}\right|^{k}<\left|z_{2}\right|<1\right\},\;k\in\mathbb{Z}^{+}.$$
