Skew Carleson measures in strongly pseudoconvex domains (Q2421355)

The authors study a Carleson-type measure problem. That is they present conditions on those finite positive measures \(\mu\) defined on the Borel sets of bounded strongly pseudoconvex domains \(D\) in \(\mathbb C^n\) for which the weighted Bergman space of holomorphic functions \[ A^p(D,\alpha)=\left\{f\in H(D): \int_D |f(z)|^p \mathrm{dist}\,(z, \partial D)^\alpha d\nu(z)<\infty\right\} \] (where \(\nu\) denotes Lebesgue measure), embeds continuously into \(L^q(D,\mu)\). The content is very technical.