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Multilinear fractional integral operators: a counter-example

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jun 2020Embargo end date: 01 Jan 2019Publisher:Finnish Mathematical SocietyJournal:Annales Academiae Scientiarum Fennicae Mathematica, volume 45, pages 899-902 (issn: 1239-629X, eissn: 1798-2383, Copyright policy )
Authors: Rocha, Pablo;

doi: 10.5186/aasfm.2020.4549 , 10.48550/arxiv.1908.00668

arXiv: 1908.00668

Multilinear fractional integral operators: a counter-example

Abstract

By means of a counter-example we show that the multilinear fractional operator is not bounded from a product of Hardy spaces into a Hardy space.

Related Organizations
Keywords

Hardy spaces, Singular and oscillatory integrals (Calderón-Zygmund, etc.), Mathematics - Classical Analysis and ODEs, multilinear fractional operators, Classical Analysis and ODEs (math.CA), FOS: Mathematics, \(H^p\)-spaces

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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!
0
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