no. 1
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.

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     author = {Carleson, Lennart},
     title = {Maximal functions and capacities},
     journal = {Annales de l'Institut Fourier},
     pages = {59--64},
     publisher = {Institut Fourier},
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     volume = {15},
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Carleson, Lennart. Maximal functions and capacities. Annales de l'Institut Fourier, Tome 15 (1965) no. 1, pp. 59-64. doi : 10.5802/aif.195. https://aif.centre-mersenne.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

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