Maximal functions and capacities
Annales de l'Institut Fourier, Tome 15 (1965) no. 1, pp. 59-64.

Pour les fonctions f(x) dont les coefficients de Fourier c n satisfont à Σ|c n | 2 λ n <∞, la capacité est évaluée pour l’ensemble où la fonction maximale satisfait à f * (x)≥λ.

@article{AIF_1965__15_1_59_0,
     author = {Carleson, Lennart},
     title = {Maximal functions and capacities},
     journal = {Annales de l'Institut Fourier},
     pages = {59--64},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {15},
     number = {1},
     year = {1965},
     doi = {10.5802/aif.195},
     mrnumber = {32 #2602},
     zbl = {0139.28701},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/aif.195/}
}
TY  - JOUR
AU  - Carleson, Lennart
TI  - Maximal functions and capacities
JO  - Annales de l'Institut Fourier
PY  - 1965
SP  - 59
EP  - 64
VL  - 15
IS  - 1
PB  - Institut Fourier
PP  - Grenoble
UR  - http://www.numdam.org/articles/10.5802/aif.195/
DO  - 10.5802/aif.195
LA  - en
ID  - AIF_1965__15_1_59_0
ER  - 
%0 Journal Article
%A Carleson, Lennart
%T Maximal functions and capacities
%J Annales de l'Institut Fourier
%D 1965
%P 59-64
%V 15
%N 1
%I Institut Fourier
%C Grenoble
%U http://www.numdam.org/articles/10.5802/aif.195/
%R 10.5802/aif.195
%G en
%F AIF_1965__15_1_59_0
Carleson, Lennart. Maximal functions and capacities. Annales de l'Institut Fourier, Tome 15 (1965) no. 1, pp. 59-64. doi : 10.5802/aif.195. http://www.numdam.org/articles/10.5802/aif.195/

[1] A. Beurling, Ensembles exceptionnels, Acta Math., 72 (1940), 1-13. | JFM | MR | Zbl

[2] A. Broman, On two classes of trigonometrical series, Thesis, Uppsala (1947).

[3] L. Carleson, Interpolations by bounded analytic functions and the Corona problem, Ann. of Math., 76 (1962) 547-559. | MR | Zbl

[4] K. V. Temko, Convex capacity and Fourier series, Dokl. Akad. Nauk, 110 (1956). | MR | Zbl

Cité par Sources :