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Canadian Mathematical Bulletin
Article . 2000 . Peer-reviewed
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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https://dx.doi.org/10.4153/cmb...
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Maximal Operators and Cantor Sets

Maximal operators and Cantor sets
descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2000 English Publisher:Canadian Mathematical SocietyJournal:Canadian Mathematical Bulletin, volume 43, pages 330-342 (issn: 0008-4395, eissn: 1496-4287, Copyright policy )
Authors: Hare, Kathryn E.;

doi: 10.4153/cmb-2000-040-5

Maximal Operators and Cantor Sets

Abstract

AbstractWe consider maximal operators in the plane, defined by Cantor sets of directions, and show such operators are not bounded on L2 if the Cantor set has positive Hausdorff dimension.

Related Organizations
Keywords

Fractals, maximal function, Maximal functions, Littlewood-Paley theory, Cantor sets, lacunary sets, Hardy-Littlewood maximal operator

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
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