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Carleson measures, Riemann-Stieltjes and multiplication operators on a general family of function spaces | | Jordi Pau
; Ruhan Zhao
; | | Date: |
18 Jul 2013 | | Abstract: | Let $mu$ be a nonnegative Borel measure on the unit disk of the complex
plane. We characterize those measures $mu$ 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 $T^{infty}_{p,s}(mu)$. The
results are applied to characterize boundedness and compactness of
Riemann-Stieltjes operators and multiplication operators on $F(p,q,s)$. | | Source: | arXiv, 1307.4900 | | Services: | Forum | Review | PDF | Favorites | |
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