A proof of boundedness of the Carleson operator

Citation
M. Lacey et C. Thiele, A proof of boundedness of the Carleson operator, MATH RES LE, 7(4), 2000, pp. 361-370
Citations number
6
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL RESEARCH LETTERS
ISSN journal
10732780 → ACNP
Volume
7
Issue
4
Year of publication
2000
Pages
361 - 370
Database
ISI
SICI code
1073-2780(200007)7:4<361:APOBOT>2.0.ZU;2-6
Abstract
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]).