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http://hdl.handle.net/2445/164726
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DC Field | Value | Language |
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dc.contributor.author | Marco, Nicolás | - |
dc.contributor.author | Massaneda Clares, Francesc Xavier | - |
dc.contributor.author | Ortega Cerdà, Joaquim | - |
dc.date.accessioned | 2020-06-08T07:45:27Z | - |
dc.date.available | 2020-06-08T07:45:27Z | - |
dc.date.issued | 2003-08 | - |
dc.identifier.issn | 1016-443X | - |
dc.identifier.uri | http://hdl.handle.net/2445/164726 | - |
dc.description.abstract | We characterise interpolating and sampling sequences for the spaces of entire functions $f$ such that $f e^{-\phi}\in L^p(\C)$, $p\geq 1$ where $\phi$ is a subharmonic weight whose Laplacian is a doubling measure. The results are expressed in terms of some densities adapted to the metric induced by $\Delta\phi$. They generalise previous results by Seip for the case $\phi(z)=|z|^2$, Berndtsson and Ortega-Cerdà and Ortega-Cerdà and Seip for the case when $\Delta\phi$ is bounded above and below, and Lyubarski\u{\i} \& Seip for 1-homogeneous weights of the form $\phi(z)=|z|h(\arg z)$, where $h$ is a trigonometrically strictly convex function. | - |
dc.format.extent | 53 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Springer Verlag | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1007/s00039-003-0434-7 | - |
dc.relation.ispartof | Geometric and Functional Analysis, 2003, vol. 13, num. 4, p. 862-914 | - |
dc.relation.uri | https://doi.org/10.1007/s00039-003-0434-7 | - |
dc.rights | (c) Springer Verlag, 2003 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Interpolació (Matemàtica) | - |
dc.subject.classification | Funcions de variables complexes | - |
dc.subject.classification | Anàlisi funcional | - |
dc.subject.classification | Espais de Hilbert | - |
dc.subject.classification | Funcions analítiques | - |
dc.subject.other | Interpolation | - |
dc.subject.other | Functions of complex variables | - |
dc.subject.other | Functional analysis | - |
dc.subject.other | Hilbert space | - |
dc.subject.other | Analytic functions | - |
dc.title | Interpolation and sampling sequences for entire functions | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 506183 | - |
dc.date.updated | 2020-06-08T07:45:27Z | - |
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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506183.pdf | 477.51 kB | Adobe PDF | View/Open |
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