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 | |
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