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Variants of a multiplier theorem of Kislyakov

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dc.contributor.authorDefant, Andreas
dc.contributor.authorMastyło, Mieczysław
dc.contributor.authorPérez Hernández, Antonio
dc.contributor.funderAgencia Estatal de Investigación
dc.date.accessioned2026-02-20T12:59:21Z
dc.date.available2026-02-20T12:59:21Z
dc.date.issued2022-09-01
dc.descriptionThis is the Accepted Manuscript of an article published by Cambridge University Press in "Journal of the Institute of Mathematics of Jussieu, 23, 2022", available online: https://doi.org/10.1017/S1474748022000391
dc.descriptionEste es el manuscrito aceptado de un artículo publicado por Cambridge University Press en " Journal of the Institute of Mathematics of Jussieu, 23, 2022", disponible en línea: https://doi.org/10.1017/S1474748022000391
dc.description.abstractWe prove stronger variants of a multiplier theorem of Kislyakov. The key ingredients are based on ideas of Kislaykov and the Kahane–Salem–Zygmund inequality. As a by-product we show various multiplier theorems for spaces of trigonometric polynomials on the n-dimensional torus Tn or Boolean cubes {−1, 1}N. Our more abstract approach based on local Banach space theory has the advantage that it allows to consider more general compact abelian groups instead of only the multidimensional torus. As an application we show that various recent ℓ1-multiplier theorems for trigonometric polynomials in several variables or ordinary Dirichlet series may be proved without the Kahane–Salem–Zygmund inequality.es
dc.description.provenanceMade available in DSpace on 2026-02-20T12:59:21Z (GMT). No. of bitstreams: 1 Perez_Hernandez_Antonio_Variants_Multiplier_ANTONIO PEREZ HERNAN.pdf: 449790 bytes, checksum: 47aa6781fff422833cfb1f36c22ab55d (MD5) Previous issue date: 2022-09-01en
dc.description.versionversión final
dc.identifier.citationDefant, A., Mastyło, M., Pérez-Hernández, A. (2024). Variants of a Multiplier Theorem of Kislyakov. Journal of the Institute of Mathematics of Jussieu, 23(1), 347–377. URL: https://doi.org/10.1017/S1474748022000391
dc.identifier.doihttps://doi.org/10.1017/S1474748022000391
dc.identifier.eissn1475-3030
dc.identifier.issn1474-7480
dc.identifier.urihttps://hdl.handle.net/20.500.14468/31878
dc.journal.issue1
dc.journal.titleJournal of the Institute of Mathematics of Jussieu
dc.journal.volume23
dc.language.isoen
dc.publisherCambridge University Press
dc.relation.centerEscuela Técnica Superior de Ingenieros Industriales
dc.relation.departmentMatemática Aplicada I
dc.relation.projectidinfo:eu-repo/grantAgreement/AEI//FJC2018-036519-I
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas
dc.subject.keywordsFourier analysis on groupsen
dc.subject.keywordsmultipliersen
dc.subject.keywordsSidon setsen
dc.subject.keywordsBoolean functionsen
dc.subject.keywordsmultivariable and Dirichlet polynomialsen
dc.titleVariants of a multiplier theorem of Kislyakoven
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery5df1117e-e057-404a-a139-4d4aab6e5298
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