Geodesic
A variation norm Carleson theorem
Journal of the European Mathematical Society, Tome 14 (2012) no. 2, pp. 421-464.

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We strengthen the Carleson-Hunt theorem by proving Lp estimates for the r-variation of the partial sum operators for Fourier series and integrals, for r>max{p′,2}. Four appendices are concerned with transference, a variation norm Menshov-Paley-Zygmund theorem, and applications to nonlinear Fourier transforms and ergodic theory.
DOI : 10.4171/jems/307
Classification : 42-XX, 00-XX 
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     title = {A variation norm {Carleson} theorem},
     journal = {Journal of the European Mathematical Society},
     pages = {421--464},
     publisher = {mathdoc},
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     year = {2012},
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Richard Oberlin; Andreas Seeger; Terence Tao; Christoph Thiele; James Wright. A variation norm Carleson theorem. Journal of the European Mathematical Society, Tome 14 (2012) no. 2, pp. 421-464. doi : 10.4171/jems/307. http://geodesic.mathdoc.fr/articles/10.4171/jems/307/

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