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Proceedings of the National Academy of Sciences
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Proceedings of the National Academy of Sciences
Article . 1976 . Peer-reviewed
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Proceedings of the National Academy of Sciences
Article . 2010
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https://dx.doi.org/10.1073/pna...
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Maximal functions: Spherical means

Maximal functions. I: Spherical means
descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1976 English Publisher:Proceedings of the National Academy of SciencesJournal:Proceedings of the National Academy of Sciences, volume 73, pages 2,174-2,175 (issn: 0027-8424, eissn: 1091-6490, Copyright policy )
Authors: Stein, Elias M.;

doi: 10.1073/pnas.73.7.2174

pmid: 16592329

pmc: PMC430482

Maximal functions: Spherical means

Abstract

Let [unk]( f )( x ) denote the supremum of the averages of f taken over all (surfaces of) spheres centered at x . Then f → [unk]( f ) is bounded on L p (R n ), whenever p > n /( n - 1), and n ≥ 3.

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Keywords

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type

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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!
228
Top 1%
Top 0.1%
Top 10%
bronze