Reverse Carleson Embeddings for Model Spaces

Authors

• William T. Ross, University of RichmondFollow
• Alain Blandigneres
• Emmanuel Fricain
• Frederic Gaunard
• Andreas Hartmann

DOI

10.1112/jlms/jdt018

Abstract

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 f∈H², 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 f∈H². 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 second type of inequality in (Θ H²)^⊥.

Document Type

Article

Publication Date

2013

Publisher Statement

Copyright © 2013 Oxford University Press. This article first appeared in Journal of the London Mathematical Society 88:2 (2013), 437-464.

The definitive version is available at: http://jlms.oxfordjournals.org/content/88/2/437

DOI: 10.1112/jlms/jdt018

Full Citation:

Blandigneres, Alain, Emmanuel Fricain, Frederic Gaunard, Andreas Hartmann, and William T. Ross. "Reverse Carleson Embeddings for Model Spaces." Journal of the London Mathematical Society 88, no. 2 (2013): 437-64. doi:10.1112/jlms/jdt018.

Recommended Citation

Ross, William T.; Blandigneres, Alain; Fricain, Emmanuel; Gaunard, Frederic; and Hartmann, Andreas, "Reverse Carleson Embeddings for Model Spaces" (2013). Department of Math & Statistics Faculty Publications. 10.
https://scholarship.richmond.edu/mathcs-faculty-publications/10