Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/96750
 Title: Carleson Measures, Riemann-Stieltjes and Multiplication Operators on a General Family of Function Spaces Author: Pau, JordiZhao, Ruhan Keywords: Funcions de variables complexesFuncions analítiquesAnàlisi harmònicaAnàlisi de FourierFunctions of complex variablesAnalytic functionsHarmonic analysisFourier analysis Issue Date: Apr-2014 Publisher: Springer Verlag 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 $T_{p,s}^\infty(\mu)$. The results are applied to characterize boundedness and compactness of Riemann-Stieltjes operators and multiplication operators on $F (p,q,s)$. Note: Versió postprint del document publicat a: http://dx.doi.org/10.1007/s00020-014-2124-2 It is part of: Integral Equations and Operator Theory, 2014, vol. 78, num. 4, p. 483-514 URI: http://hdl.handle.net/2445/96750 Related resource: http://dx.doi.org/10.1007/s00020-014-2124-2 ISSN: 0378-620X Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

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