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arXiv · 1307.4900

Carleson measures, Riemann-Stieltjes and multiplication operators on a general family of function spaces

Jordi Pau·Ruhan Zhao
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Abstract

Let $μ$ be a nonnegative Borel measure on the unit disk of the complex plane. We characterize those measures $μ$ such that the general family of spaces of analytic functions, $F(p,q,s)$, which contain many classical function spaces, including the Bloch space, $BMOA$ and the $Q_s$ spaces, are embedded boundedly or compactly into the tent-type spaces $T^{\infty}_{p,s}(μ)$. The results are applied to characterize boundedness and compactness of Riemann-Stieltjes operators and multiplication operators on $F(p,q,s)$.

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Jordi Pau, Ruhan Zhao. 2013-07-18. Carleson measures, Riemann-Stieltjes and multiplication operators on a general family of function spaces. https://arxiv.org/abs/1307.4900

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