James Wright
A variation norm Carleson theorem.
Fri, 10/09/2009 - 18:27 — SomNambulAuthors: Terence Tao, Richard Oberlin, Andreas Seeger, Christoph Thiele, James Wright
Subjects: Classical Analysis and ODEs
AbstractWe 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 $p>\max\{r',2\}$. Four appendices are concerned with transference, a
variation norm Menshov-Paley-Zygmund theorem, and applications to nonlinear
Fourier transforms and ergodic theory.A variation norm Carleson theorem.
Fri, 10/09/2009 - 18:27 — SomNambulAuthors: Terence Tao, Richard Oberlin, Andreas Seeger, Christoph Thiele, James Wright
Subjects: Classical Analysis and ODEs
AbstractWe 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 $p>\max\{r',2\}$. Four appendices are concerned with transference, a
variation norm Menshov-Paley-Zygmund theorem, and applications to nonlinear
Fourier transforms and ergodic theory.
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