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Moments of Gaussian chaoses in Banach spaces

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dc.abstract.enWe derive moment and tail estimates for Gaussian chaoses of arbitrary order with values in Banach spaces. We formulate a conjecture regarding two-sided estimates and show that it holds in a certain class of Banach spaces including $L_q$ spaces. As a corollary we obtain two-sided bounds for moments of chaoses with values in $L_q$ spaces based on exponential random variables.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorLatała, Rafał
dc.contributor.authorMeller, Rafał
dc.contributor.authorAdamczak, Radosław
dc.date.accessioned2024-01-25T12:53:41Z
dc.date.available2024-01-25T12:53:41Z
dc.date.copyright2021-01-13
dc.date.issued2021
dc.description.accesstimeAT_PUBLICATION
dc.description.financePublikacja bezkosztowa
dc.description.versionFINAL_PUBLISHED
dc.description.volume26
dc.identifier.doi10.1214/20-EJP567
dc.identifier.issn1083-6489
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/112891
dc.identifier.weblinkhttps://projecteuclid.org/download/pdfview_1/euclid.ejp/1610506817
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofElectronic Journal of Probability
dc.relation.pages11:1-36
dc.rightsOther
dc.sciencecloudnosend
dc.subject.enGaussian chaoses
dc.subject.enGaussian processes
dc.subject.enMetric entropy
dc.subject.enpolynomials in independent random variables
dc.subject.enTail and moment inequalities
dc.titleMoments of Gaussian chaoses in Banach spaces
dc.typeJournalArticle
dspace.entity.typePublication