English

Boundedness of some multi-parameter fiber-wise multiplier operators

Classical Analysis and ODEs 2020-07-07 v1

Abstract

We prove LpL^p estimates for various multi-parameter bi- and trilinear operators with symbols acting on fibers of the two-dimensional functions. In particular, this yields estimates for the general bi-parameter form of the twisted paraproduct studied in arXiv:1011.6140.

Keywords

Cite

@article{arxiv.2007.02211,
  title  = {Boundedness of some multi-parameter fiber-wise multiplier operators},
  author = {Frédéric Bernicot and Polona Durcik},
  journal= {arXiv preprint arXiv:2007.02211},
  year   = {2020}
}

Comments

26 pages

R2 v1 2026-06-23T16:51:27.554Z