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http://hdl.handle.net/2445/97263
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DC Field | Value | Language |
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dc.contributor.author | Dyakonov, Konstantin M. | - |
dc.contributor.author | Nicolau, Artur | - |
dc.date.accessioned | 2016-04-12T08:38:46Z | - |
dc.date.available | 2016-04-12T08:38:46Z | - |
dc.date.issued | 2007-09 | - |
dc.identifier.issn | 0002-9947 | - |
dc.identifier.uri | http://hdl.handle.net/2445/97263 | - |
dc.description.abstract | We are concerned with interpolation problems in $ H^\infty$ where the values prescribed and the function to be found are both zero-free. More precisely, given a sequence $ \{z_j\}$ in the unit disk, we ask whether there exists a nontrivial minorant $ \{\varepsilon_j\}$ (i.e., a sequence of positive numbers bounded by 1 and tending to 0) such that every interpolation problem $ f(z_j)=a_j$ has a nonvanishing solution $ f\in H^\infty$ whenever $ 1\ge\vert a_j\vert\ge\varepsilon_j$ for all $ j$. The sequences $ \{z_j\}$ with this property are completely characterized. Namely, we identify them as 'thin' sequences, a class that arose earlier in Wolff's work on free interpolation in $ H^\infty\cap$ VMO. | - |
dc.format.extent | 17 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | American Mathematical Society (AMS) | - |
dc.relation.isformatof | Reproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9947-07-04186-4 | - |
dc.relation.ispartof | Transactions of the American Mathematical Society, 2007, vol. 359, num. 9, p. 4449-4465 | - |
dc.relation.uri | http://dx.doi.org/10.1090/S0002-9947-07-04186-4 | - |
dc.rights | (c) American Mathematical Society (AMS), 2007 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Àlgebres de Banach | - |
dc.subject.classification | Àlgebres topològiques | - |
dc.subject.classification | Anàlisi funcional | - |
dc.subject.classification | Funcions enteres | - |
dc.subject.classification | Funcions meromorfes | - |
dc.subject.other | Banach algebras | - |
dc.subject.other | Topological algebras | - |
dc.subject.other | Functional analysis | - |
dc.subject.other | Entire functions | - |
dc.subject.other | Meromorphic functions | - |
dc.title | Free interpolation by nonvanishing analytic functions | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 582452 | - |
dc.date.updated | 2016-04-12T08:38:52Z | - |
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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582452.pdf | 260.43 kB | Adobe PDF | View/Open |
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