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Zygmund type and flag type maximal functions, and sparse operators

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dc.contributor.authorFlores, G.J.
dc.contributor.authorLi, J.
dc.contributor.authorWard, L.A.
dc.date.issued2023
dc.description.abstractWe prove that the maximal functions associated with a Zygmund dilation dyadic structure in three-dimensional Euclidean space, and with the flag dyadic structure in two-dimensional Euclidean space, cannot be bounded by multiparameter sparse operators associated with the corresponding dyadic grid. We also obtain supplementary results about the absence of sparse domination for the strong dyadic maximal function.
dc.identifier.citationProceedings of the American Mathematical Society, 2023; 151(2):555-567
dc.identifier.doi10.1090/proc/15296
dc.identifier.issn0002-9939
dc.identifier.issn1088-6826
dc.identifier.urihttps://hdl.handle.net/11541.2/31945
dc.language.isoen
dc.publisherAmerican Mathematical Society
dc.relation.fundingARC DP160100153
dc.rightsCopyright 2022 American Mathematical Society
dc.source.urihttps://doi.org/10.1090/proc/15296
dc.subjectZygmund dilations
dc.subjectmaximal functions
dc.subjectsparse domination
dc.titleZygmund type and flag type maximal functions, and sparse operators
dc.typeJournal article
pubs.publication-statusPublished
ror.fileinfo12256029530001831 13256039880001831 Open Access Published Version
ror.mmsid9916705226501831

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