Naslov
On a trilinear singular integral form with determinantal kernel

Autori
Gressman, Philip ; He, Danqing ; Kovač, Vjekoslav ; Street, Brian ; Thiele, Christoph ; Yung, Po-Lam

Izvornik
Proceedings of the American Mathematical Society (0002-9939) 144 (2016), 8; 3465-3477

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
multilinear form ; bilinear Hilbert transform ; Calderon commutator ; invariant trilinear form

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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