Pour les fonctions dont les coefficients de Fourier satisfont à , la capacité est évaluée pour l’ensemble où la fonction maximale satisfait à .
@article{AIF_1965__15_1_59_0,
author = {Carleson, Lennart},
title = {Maximal functions and capacities},
journal = {Annales de l'Institut Fourier},
volume = {15},
year = {1965},
pages = {59-64},
doi = {10.5802/aif.195},
mrnumber = {32 \#2602},
zbl = {0139.28701},
language = {en},
url = {http://dml.mathdoc.fr/item/AIF_1965__15_1_59_0}
}
Carleson, Lennart. Maximal functions and capacities. Annales de l'Institut Fourier, Tome 15 (1965) pp. 59-64. doi : 10.5802/aif.195. http://gdmltest.u-ga.fr/item/AIF_1965__15_1_59_0/
[1] , Ensembles exceptionnels, Acta Math., 72 (1940), 1-13. | JFM 66.0449.01 | MR 1,226a | Zbl 0023.14204
[2] , On two classes of trigonometrical series, Thesis, Uppsala (1947).
[3] , Interpolations by bounded analytic functions and the Corona problem, Ann. of Math., 76 (1962) 547-559. | MR 25 #5186 | Zbl 0112.29702
[4] , Convex capacity and Fourier series, Dokl. Akad. Nauk, 110 (1956). | MR 19,31d | Zbl 0072.06202