Estimates for a family of multi-linear forms

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

10.1016/j.jmaa.2010.09.070

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.

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