Reverse Carleson measures in Hardy spaces

Andreas Hartmann, Xavier Massaneda, Artur Nicolau, Joaquim Ortega-Cerdà

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)

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 languageEnglish
Pages (from-to)357-365
JournalCollectanea Mathematica
Volume65
DOIs
Publication statusPublished - 1 Jan 2014

Keywords

  • Carleson measure
  • Hardy space
  • Model space
  • Reproducing kernel
  • Reproducing kernel thesis
  • Reverse Carleson measure

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