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arXiv · 1001.5090

Estimates for a family of multi-linear forms

Zhongyi Nie·Russell Brown
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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.

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Zhongyi Nie, Russell Brown. 2010-01-28. Estimates for a family of multi-linear forms. https://doi.org/10.1016/j.jmaa.2010.09.070

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