A variation norm Carleson theorem

Oberlin, Richard, et al. "A variation norm Carleson theorem." Journal of the European Mathematical Society 014.2 (2012): 421-464. <http://eudml.org/doc/277451>.

@article{Oberlin2012,
abstract = {We strengthen the Carleson-Hunt theorem by proving $L^p$ estimates for the $r$-variation of the partial sum operators for Fourier series and integrals, for $r> \texttt \{max\}\lbrace p^\{\prime \},2\rbrace $. Four appendices are concerned with transference, a variation norm Menshov-Paley-Zygmund theorem, and applications to nonlinear Fourier transforms and ergodic theory.},
author = {Oberlin, Richard, Seeger, Andreas, Tao, Terence, Thiele, Christoph, Wright, James},
journal = {Journal of the European Mathematical Society},
keywords = {Fourier series; variation norm; Carleson theorem; Fourier series; variation norm; Carleson theorem},
language = {eng},
number = {2},
pages = {421-464},
publisher = {European Mathematical Society Publishing House},
title = {A variation norm Carleson theorem},
url = {http://eudml.org/doc/277451},
volume = {014},
year = {2012},
}

TY - JOUR
AU - Oberlin, Richard
AU - Seeger, Andreas
AU - Tao, Terence
AU - Thiele, Christoph
AU - Wright, James
TI - A variation norm Carleson theorem
JO - Journal of the European Mathematical Society
PY - 2012
PB - European Mathematical Society Publishing House
VL - 014
IS - 2
SP - 421
EP - 464
AB - We strengthen the Carleson-Hunt theorem by proving $L^p$ estimates for the $r$-variation of the partial sum operators for Fourier series and integrals, for $r> \texttt {max}\lbrace p^{\prime },2\rbrace $. Four appendices are concerned with transference, a variation norm Menshov-Paley-Zygmund theorem, and applications to nonlinear Fourier transforms and ergodic theory.
LA - eng
KW - Fourier series; variation norm; Carleson theorem; Fourier series; variation norm; Carleson theorem
UR - http://eudml.org/doc/277451
ER -