Carleson Measures, Riemann–Stieltjes and Multiplication Operators on a General Family of Function Spaces

@article{Pau2013CarlesonMR,
title={Carleson Measures, Riemann–Stieltjes and Multiplication Operators on a General Family of Function Spaces},
author={Jordi Pau and Ruhan Zhao},
journal={Integral Equations and Operator Theory},
year={2013},
volume={78},
pages={483-514}
}
• Published 18 July 2013
• Mathematics
• Integral Equations and Operator Theory
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 Qs spaces, are embedded boundedly or compactly into the tent-type spaces $${T^{\infty}_{p, s}(\mu)}$$Tp,s∞(μ). The results are applied to characterize boundedness and compactness of Riemann–Stieltjes operators and multiplication…
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