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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
zbMATH Open
Article . 1998
Data sources: zbMATH Open
https://doi.org/10.4171/dms/1-...
Part of book or chapter of book . 1998 . Peer-reviewed
Data sources: Crossref
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Discrete analogues of singular and maximal Radon transforms

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article 01 Jan 1998 English Publisher:European Mathematical Society - EMS - Publishing House GmbH
Authors: Wainger, Stephen;

doi: 10.4171/dms/1-2/71

Discrete analogues of singular and maximal Radon transforms

Abstract

Summary: We describe recent results concerning \(\ell^p\) estimates for certain discrete operators and the application of methods of analytic number theory in the treatment of these operators.

Keywords

Singular and oscillatory integrals (Calderón-Zygmund, etc.), Maximal functions, Littlewood-Paley theory, singular Radon transform, Discrete version of topics in analysis, maximal Radon transform, discrete operators, Weyl sums, Radon transform

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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!
1
Average
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