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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: Homogeneous curves

Maximal functions. II: Homogeneous curves
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 2,176-2,177 (issn: 0027-8424, eissn: 1091-6490, Copyright policy )
Authors: Stein, Elias M.;

doi: 10.1073/pnas.73.7.2176

pmid: 16592330

pmc: PMC430483

Maximal functions: Homogeneous curves

Abstract

Let t → γ( t ) be a homogeneous curve in R n . For suitable f , define [unk]( f )( x ) = sup h > 0 |(1/ h ) [unk] 0 h f ( x - γ( t )) dt |. Then ∥[unk]( f )∥ p ≤ A p ∥ f ∥ p , 1 < p ≤ ∞.

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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!
24
Top 10%
Top 10%
Average
bronze