English

Uniform estimates for bilinear Hilbert transform and bilinear maximal functions associated to polynomials

Classical Analysis and ODEs 2013-08-19 v1

Abstract

We study the bilinear Hilbert transform and bilinear maximal functions associated to polynomial curves and obtain uniform LrL^r estimates for r>d1dr>\frac{d-1}{d} and this index is sharp up to the end point.

Keywords

Cite

@article{arxiv.1308.3518,
  title  = {Uniform estimates for bilinear Hilbert transform and bilinear maximal functions associated to polynomials},
  author = {Xiaochun Li and Lechao Xiao},
  journal= {arXiv preprint arXiv:1308.3518},
  year   = {2013}
}

Comments

44 pages

R2 v1 2026-06-22T01:10:09.982Z