Mathematical Research Letters

Volume 7, Issue 4, July 2000 pp. 361-370.

A proof of boundedness of the Carleson operator

Authors: Michael Lacey and Christoph Thiele
Author institution: Georgia Institute of Technology, and UCLA

Summary: We give a simplified proof that the Carleson operator is of weak type $(2,2)$. This estimate is the main ingredient in the proof of Carleson's theorem on almost everywhere convergence of Fourier series of functions in $L^2([0,1])$.

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