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, Jordi Zhao, Ruhan |
Keywords: | Funcions de variables complexes Funcions analítiques Anàlisi harmònica Anàlisi de Fourier Functions of complex variables Analytic functions Harmonic analysis Fourier 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) |
Files in This Item:
File | Description | Size | Format | |
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636247.pdf | 254 kB | Adobe PDF | View/Open |
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