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On a trilinear form related to the Carleson theorem (CROSBI ID 191892)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Kovač, Vjekoslav 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

Podaci o odgovornosti

Kovač, Vjekoslav

engleski

On a trilinear form related to the Carleson theorem

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.

multilinear form ; bilinear Hilbert transform ; Carleson theorem ; Walsh function ; Bellman function

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Podaci o izdanju

405 (1)

2013.

220-226

objavljeno

0022-247X

1096-0813

10.1016/j.jmaa.2013.04.008

Povezanost rada

Matematika

Poveznice
Indeksiranost