Carleson Measures, Riemann-Stieltjes and Multiplication Operators on a General Family of Function Spaces
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 emb...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2014 |
| País: | España |
| Recursos: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/96750 |
| Acesso em linha: | https://hdl.handle.net/2445/96750 |
| Access Level: | acceso abierto |
| Palavra-chave: | Funcions de variables complexes Funcions analítiques Anàlisi harmònica Anàlisi de Fourier Functions of complex variables Analytic functions Harmonic analysis Fourier analysis |
| Resumo: | 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 $T_{p,s}^\infty(\mu)$. 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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