On the bi-carleson operator I. The Walsh case

Details On the bi-carleson operator I. The Walsh case On the bi-carleson operator I. The Walsh case

2002-01-08

arxiv.org/abs/math/0201060v1

Mathematics

Classical Analysis and ODEs

36 pages, no figures

Scientific paper

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.

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