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Square function inequalities for monotone bases in $L^1$

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cris.lastimport.scopus2024-02-12T20:03:58Z
dc.abstract.enThe paper contains the description of a novel method of handling general sharp square-function inequalities for monotone bases and contractive projections in L1. The technique rests on the construction of an appropriate special function enjoying certain size and convexity-type properties. As an illustration, we establish a strong L1 → L1 and a weak-type L1 → L1,∞ estimate for square functions.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorOsękowski, Adam
dc.date.accessioned2024-01-26T08:07:20Z
dc.date.available2024-01-26T08:07:20Z
dc.date.issued2018
dc.description.financeNie dotyczy
dc.description.number3
dc.description.volume12
dc.identifier.doi10.1215/17358787-2018-0004
dc.identifier.issn1735-8787
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/120533
dc.identifier.weblinkhttps://projecteuclid.org/journals/banach-journal-of-mathematical-analysis/volume-12/issue-3/Square-function-inequalities-for-monotone-bases-in-L1/10.1215/17358787-2018-0004.short
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofBanach Journal of Mathematical Analysis
dc.relation.pages693 - 708
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.ensquare function
dc.subject.enmonotone basis
dc.subject.enbest constant
dc.titleSquare function inequalities for monotone bases in $L^1$
dc.typeJournalArticle
dspace.entity.typePublication