On the bi-carleson operator I. The Walsh case

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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.
36 pages, no figures

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Classical Analysis and ODEs, 42B25; 42B20

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http://salesiana.dossiersoluciones.com/handle/123456789/63067

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0201060
 http://arxiv.org/abs/math/0201060

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arXiv