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Commutators of singular integrals revisited

COMMUTATORS OF SINGULAR INTEGRALS REVISITED
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Nov 2018Embargo end date: 01 Jan 2017 English Publisher:WileyJournal:Bulletin of the London Mathematical Society, volume 51, pages 107-119 (issn: 0024-6093, Copyright policy )Funded by:EC | HARMONIC
Authors: Lerner, Andrei; Ombrosi, Sheldy; Rivera Ríos, Israel P.;

doi: 10.1112/blms.12216 , 10.48550/arxiv.1709.04724

arXiv: http://arxiv.org/abs/1709.04724

handle: 10630/35578 , 11336/86017

Commutators of singular integrals revisited

Abstract

We obtain a Bloom-type characterization of the two-weighted boundedness of iterated commutators of singular integrals. The necessity is established for a rather wide class of operators, providing a new result even in the unweighted setting for the first order commutators.

13 pages

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Keywords

necessity for boundedness, WEIGHTS, Integrales singualres, COMMUTATORS, BLOOM ESTIMATE, Mathematics - Classical Analysis and ODEs, Commutator, Classical Analysis and ODEs (math.CA), FOS: Mathematics, https://purl.org/becyt/ford/1.1, weighted estimates, singular integrals, https://purl.org/becyt/ford/1

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citations
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!
59
Top 10%
Top 10%
Top 1%
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