Sobolev norm estimates for a class of bilinear multipliers (CROSBI ID 195727)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
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