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2013

Borel measures

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Reverse Carleson Embeddings For Model Spaces, William T. Ross, Alain Blandigneres, Emmanuel Fricain, Frederic Gaunard, Andreas Hartmann Jan 2013

Reverse Carleson Embeddings For Model Spaces, William T. Ross, Alain Blandigneres, Emmanuel Fricain, Frederic Gaunard, Andreas Hartmann

Department of Math & Statistics Faculty Publications

The classical embedding theorem of Carleson deals with finite positive Borel measures μ on the closed unit disk for which there exists a positive constant c such that for all fH2, the Hardy space of the unit disk. Lefèvre et al. examined measures μ for which there exists a positive constant c such that for all fH2. The first type of inequality above was explored with H2 replaced by one of the model spaces (Θ H2) by Aleksandrov, Baranov, Cohn, Treil, and Vol'berg. In this paper, we discuss …