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dc.contributor.authorLi, K.
dc.contributor.authorMartikainen, H.
dc.contributor.authorVuorinen, E.
dc.date.accessioned2019-04-09T11:01:29Z
dc.date.available2019-04-09T11:01:29Z
dc.date.issued2019-04-08
dc.identifier.issn1050-6926
dc.identifier.urihttp://hdl.handle.net/20.500.11824/965
dc.description.abstractWe prove some Bloom type estimates in the product BMO setting. More specifically, for a bounded singular integral $T_n$ in $\mathbb R^n$ and a bounded singular integral $T_m$ in $\mathbb R^m$ we prove that $$ \| [T_n^1, [b, T_m^2]] \|_{L^p(\mu) \to L^p(\lambda)} \lesssim_{[\mu]_{A_p}, [\lambda]_{A_p}} \|b\|_{{\rm{BMO}}_{\rm{prod}}(\nu)}, $$ where $p \in (1,\infty)$, $\mu, \lambda \in A_p$ and $\nu := \mu^{1/p}\lambda^{-1/p}$ is the Bloom weight. Here $T_n^1$ is $T_n$ acting on the first variable, $T_m^2$ is $T_m$ acting on the second variable, $A_p$ stands for the bi-parameter weights of $\mathbb R^n \times \mathbb R^m$ and ${\rm{BMO}}_{\rm{prod}}(\nu)$ is a weighted product BMO space.en_US
dc.description.sponsorshipJuan de la Cierva - Formaci\'on 2015 FJCI-2015-24547 Academy of Finland 294840 and 306901, three-year research grant 75160010 of the University of Helsinki Jenny and Antti Wihuri Foundationen_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectiterated commutatorsen_US
dc.subjectBloom's inequalityen_US
dc.subjectproduct BMOen_US
dc.subjectweighted BMOen_US
dc.titleBloom type upper bounds in the product BMO settingen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.relation.projectIDES/1PE/SEV-2017-0718en_US
dc.relation.projectIDES/1PE/MTM2017-82160-C2-1-Pen_US
dc.relation.projectIDEUS/BERC/BERC.2018-2021en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleJournal of Geometric Analysisen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
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