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dc.contributor.authorDi Plinio, F.
dc.contributor.authorLi, K.
dc.contributor.authorMartikainen, H.
dc.contributor.authorVuorinen, E.
dc.date.accessioned2020-12-28T11:06:08Z
dc.date.available2020-12-28T11:06:08Z
dc.date.issued2020
dc.identifier.issn0022-1236
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1213
dc.description.abstractWe develop a general theory of multilinear singular integrals with operator- valued kernels, acting on tuples of UMD Banach spaces. This, in particular, involves investigating multilinear variants of the R-boundedness condition naturally arising in operator-valued theory. We proceed by establishing a suitable representation of mul- tilinear, operator-valued singular integrals in terms of operator-valued dyadic shifts and paraproducts, and studying the boundedness of these model operators via dyadic- probabilistic Banach space-valued analysis. In the bilinear case, we obtain a T(1)-type theorem without any additional assumptions on the Banach spaces other than the nec- essary UMD. Higher degrees of multilinearity are tackled via a new formulation of the Rademacher maximal function (RMF) condition. In addition to the natural UMD lat- tice cases, our RMF condition covers suitable tuples of non-commutative Lp-spaces. We employ our operator-valued theory to obtain new multilinear, multi-parameter, operator- valued theorems in the natural setting of UMD spaces with property α.en_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.subjectCalderón–Zygmund operatorsen_US
dc.subjectOperator-valued analysisen_US
dc.subjectMultilinear analysisen_US
dc.subjectUMD spacesen_US
dc.titleMultilinear operator-valued calderón-zygmund theoryen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doihttps://doi.org/10.1016/j.jfa.2020.108666
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/abs/pii/S0022123620302093?via%3Dihuben_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 Functional Analysisen_US


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