Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/34463
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ortega Cerdà, Joaquim | - |
dc.contributor.author | Seip, Kristian | - |
dc.date.accessioned | 2013-04-08T06:32:46Z | - |
dc.date.available | 2013-04-08T06:32:46Z | - |
dc.date.issued | 2012-10 | - |
dc.identifier.issn | 0021-7670 | - |
dc.identifier.uri | http://hdl.handle.net/2445/34463 | - |
dc.description.abstract | By theorems of Ferguson and Lacey ($d=2$) and Lacey and Terwilleger ($d>2$), Nehari's theorem is known to hold on the polydisc $\D^d$ for $d>1$, i.e., if $H_\psi$ is a bounded Hankel form on $H^2(\D^d)$ with analytic symbol $\psi$, then there is a function $\varphi$ in $L^\infty(\T^d)$ such that $\psi$ is the Riesz projection of $\varphi$. A method proposed in Helson's last paper is used to show that the constant $C_d$ in the estimate $\|\varphi\|_\infty\le C_d \|H_\psi\|$ grows at least exponentially with $d$; it follows that there is no analogue of Nehari's theorem on the infinite-dimensional polydisc. | - |
dc.format.extent | 4 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Springer | - |
dc.relation.isformatof | Versió postprint del document publicat a: http://dx.doi.org/10.1007/s11854-012-0038-y | - |
dc.relation.ispartof | Journal d'Analyse Mathematique, 2012, vol. 118, num. 1, p. 339-342 | - |
dc.relation.uri | http://dx.doi.org/10.1007/s11854-012-0038-y | - |
dc.rights | (c) The Hebrew University of Jerusalem, 2012 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Teoria d'operadors | - |
dc.subject.classification | Anàlisi de Fourier | - |
dc.subject.classification | Anàlisi harmònica | - |
dc.subject.classification | Funcions de diverses variables complexes | - |
dc.subject.other | Operator theory | - |
dc.subject.other | Fourier analysis | - |
dc.subject.other | Harmonic analysis | - |
dc.subject.other | Functions of several complex variables | - |
dc.title | A lower bound in Nehari's theorem on the polydisc | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 600313 | - |
dc.date.updated | 2013-04-08T06:32:46Z | - |
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 | |
---|---|---|---|---|
600313.pdf | 201.61 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.