Estimates for a family of multi-linear forms

Nie, Zhongyi; Brown, Russell

doi:10.1016/j.jmaa.2010.09.070

arXiv 2010-01-28 DOI 10.1016/j.jmaa.2010.09.070 0 مشاهدة

Estimates for a family of multi-linear forms

Nie, Zhongyi · Brown, Russell

Analysis of PDEs Classical Analysis and ODEs Primary 26D20, Secondary 37K10

الأصل · EN

We consider a special class of the multi-linear forms studied by Brascamp and Lieb. For these forms, we are able to characterize the Lᵖ 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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