Pregled bibliografske jedinice broj: 624064
On a trilinear form related to the Carleson theorem
On a trilinear form related to the Carleson theorem // Journal of mathematical analysis and applications, 405 (2013), 1; 220-226 doi:10.1016/j.jmaa.2013.04.008 (međunarodna recenzija, članak, znanstveni)
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Naslov
On a trilinear form related to the Carleson theorem
Autori
Kovač, Vjekoslav
Izvornik
Journal of mathematical analysis and applications (0022-247X) 405
(2013), 1;
220-226
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
multilinear form ; bilinear Hilbert transform ; Carleson theorem ; Walsh function ; Bellman function
Sažetak
Demeter and Thiele introduced the two-dimensional bilinear Hilbert transform in [3] and showed that the Carleson operator can be identified in particular instances of the corresponding trilinear form. Demeter considered the Walsh model of one such form in [2], in relation to the discussion of the Walsh-Carleson theorem. We prove boundedness of this trilinear form for a single triple of exponents at the boundary of the previously established range. For this purpose we adapt the multilinear Bellman function technique from [4] to the one-and-a-half-dimensional time-frequency space.
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
