Direct and reverse Carleson measures for $\mathscr{H}(b)$ spaces

DOI10.1512/iumj.2015.64.5604zbMath1333.30066arXiv1308.1574OpenAlexW4253941025MaRDI QIDQ3449913

Frédéric Gaunard, Alain Blandignères, Andreas Hartmann, Emmanuel Fricain, William T. Ross

Publication date: 30 October 2015

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.1574

zbMATH Keywords

Carleson measuresreproducing kernelsde Branges-Rovnyak spaces

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hardy spaces (30H10)

Related Items (6)

Concrete examples of \(\mathcal{H}(b)\) spaces ⋮ Hilbert spaces of analytic functions with a contractive backward shift ⋮ Some open problems in complex and harmonic analysis: Report on problem session held during the conference Completeness problems, Carleson measures, and spaces of analytic functions ⋮ Sampling measure on Bergman spaces ⋮ Sampling measure on doubling Fock spaces ⋮ Higher order local Dirichlet integrals and de Branges-Rovnyak spaces

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