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http://hdl.handle.net/2445/193293
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DC Field | Value | Language |
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dc.contributor.author | Cascante, Ma. Carme (Maria Carme) | - |
dc.contributor.author | Fàbrega Casamitjana, Joan | - |
dc.contributor.author | Pascuas Tijero, Daniel | - |
dc.date.accessioned | 2023-02-08T18:52:22Z | - |
dc.date.available | 2023-02-08T18:52:22Z | - |
dc.date.issued | 2020 | - |
dc.identifier.issn | 1239-629X | - |
dc.identifier.uri | http://hdl.handle.net/2445/193293 | - |
dc.description.abstract | We characterize the boundedness of Hankel bilinear forms on a product of generalized Fock-Sobolev spaces on $\mathbf{C}^n$ with respect to the weight $(1+|z|)^p e^{-\frac{\rho}{2}|*|^{2 t}}$, for $\ell \geq 1, \alpha>0$ and $\rho \in \mathbf{R}$. We obtain a weak decomposition of the Bergman kernel with estimates and a LittlewoodPaley formula, which are key ingredients in the proof of our main results. As an application, we characterize the boundedness, compactness and the membership in the Schatten class of small Hankel operators on these spaces. | - |
dc.format.extent | 22 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Academia Scientiarum Fennica | - |
dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.5186/aasfm.2020.4546 | - |
dc.relation.ispartof | Annales Academiae Scientiarum Fennicae. Mathematica, 2020, vol. 45, num. 2, p. 841-862 | - |
dc.relation.uri | https://doi.org/10.5186/aasfm.2020.4546 | - |
dc.rights | (c) Academia Scientiarum Fennica, 2020 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Funcions de diverses variables complexes | - |
dc.subject.classification | Espais analítics | - |
dc.subject.classification | Funcions holomorfes | - |
dc.subject.classification | Teoria d'operadors | - |
dc.subject.other | Functions of several complex variables | - |
dc.subject.other | Analytic spaces | - |
dc.subject.other | Holomorphic functions | - |
dc.subject.other | Operator theory | - |
dc.title | Hankel Bilinear Forms on Generalized Fock-Sobolev Spaces on $C^n$ | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 699963 | - |
dc.date.updated | 2023-02-08T18:52:22Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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699963.pdf | 298.19 kB | Adobe PDF | View/Open |
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