On a trilinear form related to the Carleson theorem (CROSBI ID 191892)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
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