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University of Richmond

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Model spaces

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Multipliers Between Model Spaces, Emmanuel Fricain, Andreas Hartmann, William T. Ross Jan 2018

Multipliers Between Model Spaces, Emmanuel Fricain, Andreas Hartmann, William T. Ross

Department of Math & Statistics Faculty Publications

In this paper we examine the multipliers from one model space to another.


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 …


The Norm Of A Truncated Toeplitz Operator, William T. Ross, Stephan Ramon Garcia Jan 2010

The Norm Of A Truncated Toeplitz Operator, William T. Ross, Stephan Ramon Garcia

Department of Math & Statistics Faculty Publications

We prove several lower bounds for the norm of a truncated Toeplitz operator and obtain a curious relationship between the H2 and H norms of functions in model spaces.