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zbMATH Open
Article . 1987
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Proceedings of the American Mathematical Society
Article . 1987 . Peer-reviewed
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Proceedings of the American Mathematical Society
Article . 1987 . Peer-reviewed
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https://dx.doi.org/10.1090/s00...
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Littlewood-Paley Operators on BMO

Littlewood-Paley operators on BMO
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1987Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 99, page 657 (issn: 0002-9939, Copyright policy )
Authors: Kurtz, Douglas S.;

doi: 10.2307/2046471 , 10.1090/s0002-9939-1987-0877035-1

Littlewood-Paley Operators on BMO

Abstract

Two Littlewood-Paley operators, the area integral and the function g λ ∗ g_\lambda ^ * , are considered as operators on functions of bounded mean oscillation. It is proved that the image of a BMO function under one of these operators is either equal to infinity almost everywhere or is in BMO.

Related Organizations
Keywords

Maximal functions, Littlewood-Paley theory, Littlewood-Paley function, Poisson integral

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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!
17
Average
Top 10%
Average
bronze