Skew Carleson measures in strongly pseudoconvex domains

TL;DR

This paper characterizes $(mbda,mma)$-skew Carleson measures in strongly pseudoconvex domains using products of functions in weighted Bergman spaces, advancing understanding of measure conditions in complex analysis.

Contribution

It provides a new characterization of skew Carleson measures in terms of weighted Bergman space products for strongly pseudoconvex domains.

Findings

Characterization of skew Carleson measures via weighted Bergman space products

Conditions on parameters mbda and mma for measure characterization

Extension of measure theory in complex analysis contexts

Abstract

Given a bounded strongly pseudoconvex domain $D$ in $\mathbb{C}^n$ with smooth boundary, we give a characterization through products of functions in weighted Bergman spaces of $(\lambda,\gamma)$-skew Carleson measures on $D$, with $\lambda>0$ and $\gamma>1-\frac{1}{n+1}$.