English

Estimates for a family of multi-linear forms

Analysis of PDEs 2010-10-28 v2 Classical Analysis and ODEs

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.

Cite

@article{arxiv.1001.5090,
  title  = {Estimates for a family of multi-linear forms},
  author = {Zhongyi Nie and Russell Brown},
  journal= {arXiv preprint arXiv:1001.5090},
  year   = {2010}
}

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R2 v1 2026-06-21T14:40:30.611Z