On a trilinear singular integral form with determinantal kernel (CROSBI ID 223570)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Gressman, Philip ; He, Danqing ; Kovač, Vjekoslav ; Street, Brian ; Thiele, Christoph ; Yung, Po-Lam
engleski
On a trilinear singular integral form with determinantal kernel
We study a trilinear singular integral form acting on two-dimensional functions and possessing invariances under arbitrary matrix dilations and linear modulations. One part of the motivation for introducing it lies in its large symmetry groups acting on the Fourier side. Another part of the motivation is that this form stands between the bilinear Hilbert transforms and the first Calderon commutator, in the sense that it can be reduced to a superposition of the former, while it also successfully encodes the latter. As the main result we determine the exact range of exponents in which the Lp estimates hold for the considered form.
multilinear form ; bilinear Hilbert transform ; Calderon commutator ; invariant trilinear form
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Podaci o izdanju
144 (8)
2016.
3465-3477
objavljeno
0002-9939
10.1090/proc/13007