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Stability in Burkholder's differentially subordinate martingales inequalities and applications to Fourier multipliers

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dc.abstract.enWe study stability estimates for the almost extremal functions associated with the Lp -bound for the real and imaginary parts of the Beurling-Ahlfors operator. The proof exploits probabilistic methods and rests on analogous results for differentially subordinate martingales which are of independent interest. This allows us to obtain stability inequalities for a larger class of Fourier multipliers
dc.affiliationUniwersytet Warszawski
dc.contributor.authorBanuelos, Rodrigo
dc.contributor.authorOsękowski, Adam
dc.date.accessioned2024-01-26T08:07:30Z
dc.date.available2024-01-26T08:07:30Z
dc.date.issued2018
dc.description.financeNie dotyczy
dc.description.volume119
dc.identifier.doi10.1016/J.MATPUR.2018.09.001
dc.identifier.issn0021-7824
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/120544
dc.identifier.weblinkhttps://www.sciencedirect.com/science/article/pii/S0021782418301429
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofJournal des Mathematiques Pures et Appliquees
dc.relation.pages1-44
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enmartingale
dc.subject.endifferential subordination
dc.subject.enFourier multiplier
dc.titleStability in Burkholder's differentially subordinate martingales inequalities and applications to Fourier multipliers
dc.typeJournalArticle
dspace.entity.typePublication