Reverse Carleson Embeddings for Model Spaces
| hal.structure.identifier | Institut Camille Jordan [ICJ] | |
| dc.contributor.author | BLANDIGNÈRES, Alain | |
| hal.structure.identifier | Institut Camille Jordan [ICJ] | |
| dc.contributor.author | FRICAIN, Emmanuel | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | GAUNARD, Frederic | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HARTMANN, Andreas | |
| hal.structure.identifier | Department of Mathematics | |
| dc.contributor.author | ROSS, William T. | |
| dc.date.accessioned | 2024-04-04T02:24:31Z | |
| dc.date.available | 2024-04-04T02:24:31Z | |
| dc.date.created | 2012 | |
| dc.date.issued | 2013 | |
| dc.identifier.issn | 0024-6107 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189821 | |
| dc.description.abstractEn | The classical embedding theorem of Carleson deals with finite positive Borel measures $\mu$ on the closed unit disk for which there exists a positive constant $c$ such that $\|f\|_{L^2(\mu)} \leq c \|f\|_{H^2}$ for all $f \in H^2$, the Hardy space of the unit disk. Lefévre et al.\ examined measures $\mu$ for which there exists a positive constant $c$ such that $\|f\|_{L^2(\mu)} \geq c \|f\|_{H^2}$ for all $f \in H^2$. The first type of inequality above was explored with $H^2$ replaced by one of the model spaces $(\Theta H^2)^{\perp}$ by Aleksandrov, Baranov, Cohn, Treil, and Volberg. In this paper we discuss the second type of inequality in $(\Theta H^2)^{\perp}$. | |
| dc.language.iso | en | |
| dc.publisher | London Mathematical Society ; Wiley | |
| dc.subject.en | model spaces | |
| dc.subject.en | embeddings | |
| dc.subject.en | dominating sets | |
| dc.subject.en | Carleson measures | |
| dc.subject.en | Clark measures | |
| dc.title.en | Reverse Carleson Embeddings for Model Spaces | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.identifier.arxiv | 1205.3260 | |
| bordeaux.journal | Journal of the London Mathematical Society | |
| bordeaux.page | 437-464 | |
| bordeaux.volume | 88 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00697223 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00697223v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20the%20London%20Mathematical%20Society&rft.date=2013&rft.volume=88&rft.spage=437-464&rft.epage=437-464&rft.eissn=0024-6107&rft.issn=0024-6107&rft.au=BLANDIGN%C3%88RES,%20Alain&FRICAIN,%20Emmanuel&GAUNARD,%20Frederic&HARTMANN,%20Andreas&ROSS,%20William%20T.&rft.genre=article |
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