Composition operators on generalized Hardy spaces
| hal.structure.identifier | Analysis and Problems of Inverse type in Control and Signal processing [APICS] | |
| dc.contributor.author | LEBLOND, Juliette | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | POZZI, Elodie | |
| hal.structure.identifier | Institut Fourier [IF ] | |
| dc.contributor.author | RUSS, Emmanuel | |
| dc.date.accessioned | 2024-04-04T02:21:13Z | |
| dc.date.available | 2024-04-04T02:21:13Z | |
| dc.date.created | 2013-10-15 | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 1661-8254 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189554 | |
| dc.description.abstractEn | Let $\Omega_1,\Omega_2\subset {\mathbb C}$ be bounded domains. Let $\phi:\Omega_1\rightarrow \Omega_2$ holomorphic in $\Omega_1$ and belonging to $W^{1,\infty}_{\Omega_2}(\Omega_1)$. We study the composition operators $f\mapsto f\circ\phi$ on generalized Hardy spaces on $\Omega_2$, recently considered in \cite{bfl, BLRR}. In particular, we provide necessary and/or sufficient conditions on $\phi$, depending on the geometry of the domains, ensuring that these operators are bounded, invertible, isometric or compact. Some of our results are new even for Hardy spaces of analytic functions. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | composition operators | |
| dc.subject.en | conjugate Beltrami equation | |
| dc.subject.en | Generalized Hardy spaces | |
| dc.title.en | Composition operators on generalized Hardy spaces | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.identifier.arxiv | 1310.4268 | |
| bordeaux.journal | Complex Analysis and Operator Theory | |
| bordeaux.page | 354-381 | |
| bordeaux.volume | 119 | |
| 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-01242032 | |
| hal.version | 2 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01242032v2 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Complex%20Analysis%20and%20Operator%20Theory&rft.date=2015&rft.volume=119&rft.spage=354-381&rft.epage=354-381&rft.eissn=1661-8254&rft.issn=1661-8254&rft.au=LEBLOND,%20Juliette&POZZI,%20Elodie&RUSS,%20Emmanuel&rft.genre=article |
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