English

On the bi-carleson operator I. The Walsh case

Classical Analysis and ODEs 2007-05-23 v1

Abstract

We prove LpL^p estimates for the Walsh model of the maximal bi-Carleson operator (which is a hybrid of the bilinear Hilbert transform and the Carleson maximal operator which appears naturally in the eigenfunction problem for one-dimensional Schrodinger operators). The corresponding estimates for the Fourier model will be obtained in the sequel of this paper.

Keywords

Cite

@article{arxiv.math/0201060,
  title  = {On the bi-carleson operator I. The Walsh case},
  author = {Camil Muscalu and Terence Tao and Christoph Thiele},
  journal= {arXiv preprint arXiv:math/0201060},
  year   = {2007}
}

Comments

36 pages, no figures

R2 v1 2026-07-22T16:42:34.945Z