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dc.contributor.advisorLacey, Michael T.
dc.contributor.advisorWick, Brett D.
dc.contributor.authorKunwar, Ishwari J.
dc.date.accessioned2017-08-17T19:00:52Z
dc.date.available2017-08-17T19:00:52Z
dc.date.created2017-08
dc.date.issued2017-07-24
dc.date.submittedAugust 2017
dc.identifier.urihttp://hdl.handle.net/1853/58717
dc.description.abstractIn this dissertation, we present a systematic study of multilinear dyadic operators and their commutators with locally integrable functions. We obtain a generalized paraproduct decomposition of the pointwise product of two or more functions, which naturally gives rise to multilinear dyadic paraproducts and Haar multipliers. We study boundedness properties of these operators and their commutators in various settings. Moreover, we show that these multilinear dyadic operators and their commutators can be pointwise dominated by multilinear sparse operators. We also introduce multilinear Bloom’s inequality and prove it for the commutators of multilinear Haar multipliers with dyadic BMO functions. Along the way, we obtain several characterizations of dyadic BMO functions.
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.publisherGeorgia Institute of Technology
dc.subjectMultilinear dyadic operators
dc.subjectParaproducts
dc.subjectHaar multipliers
dc.subjectCommutators
dc.subjectDyadic BMO functions
dc.subjectMultilinear sparse operators
dc.subjectMultilinear Bloom's inequality
dc.titleMultilinear dyadic operators and their commutators
dc.typeDissertation
dc.description.degreePh.D.
dc.contributor.departmentMathematics
thesis.degree.levelDoctoral
dc.contributor.committeeMemberHeil, Christopher
dc.contributor.committeeMemberLubinsky, Doron
dc.contributor.committeeMemberNitzan, Shahaf
dc.date.updated2017-08-17T19:00:52Z


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