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Sobolev norm estimates for a class of bilinear multipliers (CROSBI ID 195727)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Bernicot, Frederic ; Kovač, Vjekoslav 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

Podaci o odgovornosti

Bernicot, Frederic ; Kovač, Vjekoslav

engleski

Sobolev norm estimates for a class of bilinear multipliers

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.

bilinear Hilbert transform ; bilinear multiplier ; paraproduct ; pseudodifferential operator ; Sobolev space

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Podaci o izdanju

13 (3)

2013.

1305-1315

objavljeno

1534-0392

1553-5258

10.3934/cpaa.2014.13.1305

Povezanost rada

Matematika

Poveznice
Indeksiranost