On the bi-carleson operator I. The Walsh case

2002/01/08 by Camil Muscalu, Terence Tao, Muscalu, Camil +3
Mathematics · #42B20 #42B25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42B20 #msc:42B25

paper · pdf · doi:10.48550/arxiv.math/0201060

36 pages, no figures

arxiv created 2002/01/08 · arxiv updated 2009/11/30

Abstract

We prove L^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.

Related

• The Bi-Carleson operator
• L^p estimates for the biest I. The Walsh case
• Bounds on the Walsh model for M^q,* Carleson and related operators
• The Walsh model for M₂^* Carleson
• L^p estimates for the biest II. The Fourier case