Estimates for a family of multi-linear forms

Abstract

We consider a special class of the multi-linear forms studied by Brascamp and Lieb. For these forms, we are able to characterize the L^p spaces for which the form is bounded. We use this characterization to study a non-linear map that arises in scattering theory.

Added references

References in corpus (2)

• On a reverse form of the Brascamp-Lieb inequality
• Estimates for the scattering map associated to a two-dimensional first order system

Cited by in corpus (4)

• Miura Maps and Inverse Scattering for the Novikov-Veselov Equation
• Propagation and recovery of singularities in the inverse conductivity problem
• Global Well-Posedness and Long-time Asymptotics for the Defocussing Davey-Stewartson II Equation in $H^{1,1}(R^2)$
• Action of a scattering map on weighted Sobolev spaces in the plane