Pregled bibliografske jedinice broj: 643668
Sobolev norm estimates for a class of bilinear multipliers
Sobolev norm estimates for a class of bilinear multipliers // Communications on pure and applied analysis, 13 (2013), 3; 1305-1315 doi:10.3934/cpaa.2014.13.1305 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 643668 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Sobolev norm estimates for a class of bilinear multipliers
Autori
Bernicot, Frederic ; Kovač, Vjekoslav
Izvornik
Communications on pure and applied analysis (1534-0392) 13
(2013), 3;
1305-1315
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
bilinear Hilbert transform ; bilinear multiplier ; paraproduct ; pseudodifferential operator ; Sobolev space
Sažetak
We consider bilinear multipliers that appeared as a distinguished particular case in the classification of two-dimensional bilinear Hilbert transforms by Demeter and Thiele. In this note we investigate their boundedness on Sobolev spaces. Furthermore, we study structurally similar operators with symbols that also depend on the spatial variables. The new results build on the existing L^p estimates for a paraproduct-like operator previously studied by each of the authors. Our primary intention is to emphasize the analogies with Coifman-Meyer multipliers and with bilinear pseudodifferential operators of order 0.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-037-0372790-2799 - Analiza i vjerojatnost (Šikić, Hrvoje, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Vjekoslav Kovač
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
