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zbMATH Open
Article . 1991
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Proceedings of the American Mathematical Society
Article . 1991 . Peer-reviewed
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Proceedings of the American Mathematical Society
Article . 1991 . Peer-reviewed
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https://dx.doi.org/10.1090/s00...
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Homogeneous Fourier Multipliers in the Plane

Homogeneous Fourier multipliers in the plane
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1991Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 112, page 441 (issn: 0002-9939, Copyright policy )
Authors: Duoandikoetxea, Javier; Moyua, Adela;

doi: 10.2307/2048738 , 10.1090/s0002-9939-1991-1057743-3

Homogeneous Fourier Multipliers in the Plane

Abstract

Given a homogeneous of degree zero function on the plane, we study conditions on the first derivative of its restriction to the unit circle in order to deduce that it is an L p {L^p} -multiplier.

Keywords

Littlewood- Paley decomposition of the plane, Maximal functions, Littlewood-Paley theory, Marcinkiewicz multiplier, Multipliers for harmonic analysis in several variables, homogeneous Fourier multipliers, Hardy-Littlewood maximal functions

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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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
bronze