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arxiv: 1710.01631 · v1 · pith:QSITBZMYnew · submitted 2017-10-04 · 🧮 math.CV · math.FA

Skew Carleson measures in strongly pseudoconvex domains

classification 🧮 math.CV math.FA
keywords carlesongammalambdameasurespseudoconvexskewstronglybergman
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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 $\gamma>1-\frac{1}{n+1}$.

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