English

Special cases of power decay in multilinear oscillatory integrals

Classical Analysis and ODEs 2019-04-12 v1

Abstract

We use tools from the multilinear oscillatory integral program developed by Christ, Li, Thiele, and Tao to treat special cases which are not covered by existing theory. Consideration of special cases leads to an extended class of examples for which λ\lambda-power decay holds.

Keywords

Cite

@article{arxiv.1904.05428,
  title  = {Special cases of power decay in multilinear oscillatory integrals},
  author = {Dong Dong and Dominique Maldague and Dominick Villano},
  journal= {arXiv preprint arXiv:1904.05428},
  year   = {2019}
}