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Inequalities for second-order Riesz transforms associated with Bessel expansions

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dc.abstract.enThe paper contains the proofs of Lp, logarithmic and weak-type estimates for the second-order Riesz transforms arising in the context of multidimensional Bessel expansions. Using a novel probabilistic approach, which rests on martingale methods and the representation of Riesz transforms via associated Bessel-heat processes, we show that these estimates hold with constants independent of the dimension
dc.affiliationUniwersytet Warszawski
dc.contributor.authorOsękowski, Adam
dc.date.accessioned2024-01-25T04:13:18Z
dc.date.available2024-01-25T04:13:18Z
dc.date.issued2020
dc.description.financePublikacja bezkosztowa
dc.description.number1
dc.description.volume68
dc.identifier.doi10.4064/BA200302-5-10
dc.identifier.issn0239-7269
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/109213
dc.identifier.weblinkhttp://dx.doi.org/10.4064/ba200302-5-10
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofBulletin of the Polish Academy of Sciences. Mathematics
dc.relation.pages75-88
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enRiesz transform
dc.subject.enHankel transform
dc.subject.enBessel expansion
dc.subject.enmartingale
dc.subject.endierential subordination
dc.titleInequalities for second-order Riesz transforms associated with Bessel expansions
dc.typeJournalArticle
dspace.entity.typePublication