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arxiv: 1001.5090 · v2 · pith:JBTTP5ORnew · submitted 2010-01-28 · 🧮 math.AP · math.CA

Estimates for a family of multi-linear forms

classification 🧮 math.AP math.CA
keywords formsmulti-linearablearisesboundedbrascampcharacterizationcharacterize
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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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