Abstract
We give a necessary and sufficient condition for a measure μ in the closed unit disk to be a reverse Carleson measure for Hardy spaces. This extends a previous result of Lefèvre, Li, Queffélec and Rodríguez-Piazza Lefèvre et al. (Rev Mat Iberoam 28(1):57-76, 2012). We also provide a simple example showing that the analogue for the Paley-Wiener space does not hold. As it turns out the analogue never holds in any model space. © 2014 Universitat de Barcelona.
Original language | English |
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Pages (from-to) | 357-365 |
Journal | Collectanea Mathematica |
Volume | 65 |
DOIs | |
Publication status | Published - 1 Jan 2014 |
Keywords
- Carleson measure
- Hardy space
- Model space
- Reproducing kernel
- Reproducing kernel thesis
- Reverse Carleson measure