Reverse Carleson measures in Hardy spaces

• Autores: Andreas Hartmann, Francesc Xavier Massaneda Clarés , Artur Nicolau Nos , Joaquim Ortega Cerdà
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 65, Fasc. 3, 2014, págs. 357-365
• Idioma: inglés
• DOI: 10.1007/s13348-014-0105-z
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• Resumen

  • We give a necessary and sufficient condition for a measure ? 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.