dc.contributor.author Hytönen, T. dc.contributor.author Li, K. dc.date.accessioned 2017-08-07T06:37:55Z dc.date.available 2017-08-07T06:37:55Z dc.date.issued 2017-07 dc.identifier.issn 0002-9939 dc.identifier.uri http://hdl.handle.net/20.500.11824/717 dc.description.abstract We prove sharp weak and strong type weighted estimates for a class of dyadic operators that includes majorants of both standard singular integrals and square functions. Our main new result is the optimal bound $[w]_{A_p}^{1/p}[w]_{A_\infty}^{1/2-1/p}\lesssim [w]_{A_p}^{1/2}$ for the weak type norm of square functions on $L^p(w)$ for $p>2$; previously, such a bound was only known with a logarithmic correction. By the same approach, we also recover several related results in a streamlined manner. en_US dc.description.sponsorship ERC Starting Grant Analytic-probabilistic methods for borderline singular integrals''. en_US dc.format application/pdf en_US dc.language.iso eng en_US dc.rights Reconocimiento-NoComercial-CompartirIgual 3.0 España en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.subject $A_p$-$A_\infty$ estimates en_US dc.subject square functions en_US dc.title Weak and strong $A_p$-$A_\infty$ estimates for square functions and related operators en_US dc.type info:eu-repo/semantics/article en_US dc.rights.accessRights info:eu-repo/semantics/openAccess en_US dc.type.hasVersion info:eu-repo/semantics/acceptedVersion en_US dc.journal.title Proceedings of the American Mathematical Society en_US
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