Data di Pubblicazione:
2010
Citazione:
Bilinear Fourier integral operators / L. Grafakos, M. M. Peloso. - In: JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS. - ISSN 1662-9981. - 1:2(2010), pp. 161-182. [10.1007/s11868-010-0011-4]
Abstract:
We study the boundedness of bilinear Fourier integral operators on products
of Lebesgue spaces. These operators are obtained from the class of bilinear
pseudodifferential operators of Coifman and Meyer via the introduction of an oscillatory
factor containing a real-valued phase of five variables (x, y1, y2, ξ1, ξ2) which
is jointly homogeneous in the phase variables (ξ1, ξ2). For symbols of order zero supported
away from the axes and the antidiagonal, we show that boundedness holds in
the local-L2 case. Stronger conclusions are obtained for more restricted classes of
symbols and phases.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Fourier integral operators; Multilinear operators
Elenco autori:
L. Grafakos, M.M. Peloso
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