A remark on Carleson measures of domains in \mathbb{C}^{n}.

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 \begin{equation*} \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}^{+}. \end{equation*} [ABSTRACT FROM AUTHOR]