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http://hdl.handle.net/2445/7726
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DC Field | Value | Language |
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dc.contributor.author | Massaneda Clares, Francesc Xavier | cat |
dc.contributor.author | Thomas, Pascal J. | cat |
dc.date.accessioned | 2009-04-14T08:32:05Z | - |
dc.date.available | 2009-04-14T08:32:05Z | - |
dc.date.issued | 2000 | cat |
dc.identifier.issn | 1088-6826 | cat |
dc.identifier.uri | http://hdl.handle.net/2445/7726 | - |
dc.description.abstract | We show that a sequence a:= {ak}k in the unit ball of Cn is sampling for the Hardy spaces Hp, 0 < p < ∞ , if and only if the admissible accumulation set of a in the unit sphere has full measure. For p = ∞ the situation is quite different. While this condition is still sufficient, when n > 1 (in contrast to the one dimensional situation) there exist sampling sequences for H∞ whose admissible accumulation set has measure 0. We also consider the sequence a(ω ) obtained by applying to each ak a random rotation, and give a necessary and sufficient condition on {|ak|}k so that, with probability one, a(ω ) is of sampling for Hp, p < ∞ . | - |
dc.format.extent | 8 p. | cat |
dc.format.mimetype | application/pdf | eng |
dc.language.iso | eng | eng |
dc.publisher | American Mathematical Society | eng |
dc.relation.isformatof | Reproducció digital del document publicat en format paper, proporcionada per JSTOR http://www.jstor.org/stable/119748 | cat |
dc.relation.ispartof | Proceedings of the American Mathematical Society, 2000, vol. 128, núm. 3, p. 837-843. | cat |
dc.rights | (c) American Mathematical Society, 2000 | cat |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Funcions holomorfes | cat |
dc.subject.classification | Espais de Hardy | cat |
dc.subject.other | Holomorphic functions | eng |
dc.subject.other | Series expansions | eng |
dc.title | Sampling sequences for Hardy spaces of the ball | eng |
dc.type | info:eu-repo/semantics/article | eng |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 508712 | cat |
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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508712.pdf | 697.39 kB | Adobe PDF | View/Open |
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