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Weighted $L^2$ inequalities for square functions

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cris.lastimport.scopus2024-02-12T20:44:55Z
dc.abstract.enUsing Bellman function approach, we present new proofs of weighted L2 inequalities for square functions, with the optimal dependence on the A2 characteristics of the weight and further explicit constants. We study the estimates both in the analytic and probabilistic context, and, as application, obtain related estimates for the classical Lusin and Littlewood-Paley square functions.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorBanuelos, Rodrigo
dc.contributor.authorOsękowski, Adam
dc.date.accessioned2024-01-26T11:56:23Z
dc.date.available2024-01-26T11:56:23Z
dc.date.issued2018
dc.description.financeNie dotyczy
dc.description.number4
dc.description.volume370
dc.identifier.doi10.1090/TRAN/7056
dc.identifier.issn0002-9947
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/124844
dc.identifier.weblinkhttps://www.ams.org/journals/tran/2018-370-04/S0002-9947-2017-07056-2/
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofTransactions of the American Mathematical Society
dc.relation.pages2391 - 2422
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enweight
dc.subject.endyadic
dc.subject.ensquare function
dc.titleWeighted $L^2$ inequalities for square functions
dc.typeJournalArticle
dspace.entity.typePublication