A variation norm Carleson theorem
Classical Analysis and ODEs
2010-08-26 v2
Abstract
We strengthen the Carleson-Hunt theorem by proving estimates for the -variation of the partial sum operators for Fourier series and integrals, for . Four appendices are concerned with transference, a variation norm Menshov-Paley-Zygmund theorem, and applications to nonlinear Fourier transforms and ergodic theory.
Cite
@article{arxiv.0910.1555,
title = {A variation norm Carleson theorem},
author = {Richard Oberlin and Andreas Seeger and Terence Tao and Christoph Thiele and James Wright},
journal= {arXiv preprint arXiv:0910.1555},
year = {2010}
}
Comments
41 pages