Some polynomial versions of cotype and applications

dc.creatorCarando, Daniel Germán
dc.creatorDefant, Andreas
dc.creatorSevilla Peris, Pablo
dc.date.accessioned2017-06-26T20:43:11Z
dc.date.available2017-06-26T20:43:11Z
dc.date.created2017-06-26T20:43:11Z
dc.date.issued2016-01
dc.identifierCarando, Daniel Germán; Defant, Andreas; Sevilla Peris, Pablo; Some polynomial versions of cotype and applications; Elsevier Inc; Journal Of Functional Analysis; 270; 1; 1-2016; 68-87
dc.identifier0022-1236
dc.identifierhttp://hdl.handle.net/11336/18938
dc.identifierCONICET Digital
dc.identifierCONICET
dc.description.abstractWe introduce non-linear versions of the classical cotype of Banach spaces. We show that spaces with l.u.st. and cotype, and spaces having Fourier cotype enjoy our non-linear cotype. We apply these concepts to get results on convergence of vector-valued power series in infinite many variables and on L1-multipliers of vector-valued Dirichlet series. Finally we introduce cotype with respect to indexing sets, an idea that includes our previous definitions.
dc.languageeng
dc.publisherElsevier Inc
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jfa.2015.09.017
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0022123615003870
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1503.00850
dc.rightshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCotype
dc.subjectBanach Spaces
dc.subjectMonomial Convergence
dc.subjectVector-Valued Dirichlet Series
dc.titleSome polynomial versions of cotype and applications
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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