Boundedness of bilinear multipliers whose ...
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Article dans une revue scientifique: Article original
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Title :
Boundedness of bilinear multipliers whose symbols have a narrow support
Author(s) :
Bernicot, Frederic [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Germain, Pierre [Auteur]
Courant Institute of Mathematical Sciences [New York] [CIMS]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Germain, Pierre [Auteur]
Courant Institute of Mathematical Sciences [New York] [CIMS]
Journal title :
Journal d'analyse mathématique
Pages :
165-212
Publisher :
Springer
Publication date :
2013
ISSN :
0021-7670
HAL domain(s) :
Mathématiques [math]/Analyse classique [math.CA]
English abstract : [en]
This work is devoted to studying the boundedness on Lebesgue spaces of bilinear multipliers on R whose symbol is narrowly supported around a curve (in the frequency plane). We are looking for the optimal decay rate (depending ...
Show more >This work is devoted to studying the boundedness on Lebesgue spaces of bilinear multipliers on R whose symbol is narrowly supported around a curve (in the frequency plane). We are looking for the optimal decay rate (depending on the width of this support) for exponents satisfying a sub-Holder scaling. As expected, the geometry of the curve plays an important role, which is described. This has applications for the bilinear Bochner-Riesz problem (in particular, boundedness of multipliers whose symbol is the characteristic function of a set), as well as for the bilinear restriction-extension problem.Show less >
Show more >This work is devoted to studying the boundedness on Lebesgue spaces of bilinear multipliers on R whose symbol is narrowly supported around a curve (in the frequency plane). We are looking for the optimal decay rate (depending on the width of this support) for exponents satisfying a sub-Holder scaling. As expected, the geometry of the curve plays an important role, which is described. This has applications for the bilinear Bochner-Riesz problem (in particular, boundedness of multipliers whose symbol is the characteristic function of a set), as well as for the bilinear restriction-extension problem.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Comment :
44 pages, 1 figure
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Submission date :
2025-01-24T10:50:13Z
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