New sufficient conditions for the law of the iterated logarithm in Banach spaces

 Access to full text

 Full (PDF)

1. [1] Garsia, A., Rodemich, E., RUMSEY Jr. H., A real variable lemma and the continuity of paths of Gaussian processes, Indiana U. Math. J.V., 20, 565-578, (1970). Zbl0252.60020MR267632
2. [2] Krasnoselski, M.A., Rutisky, J.B., Convex functions and Orlicz spaces, Dehli Pub. Hindustan Corp. (1962). 
3. [3] Ledoux, M., Talagrand, M., Characterization of the law of the iterated logarithm in Banach spaces, Ann. Prob.16, 1242-1264, (1988). Zbl0662.60008MR942766
4. [4] Marcus, M., Pisier, G., Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes, Act. Math., 152, 245-301. Zbl0547.60047MR741056
5. [5] Nanopoulos, C., Nobelis, P., Étude de la régularité des fonctions aléatoires et de leurs propriétés limites, Sem. de Prob.XII, Lect. Notee in Math.649, 567-690, (1977). Zbl0376.60041MR520031
6. [6] Weber, M., The law of the iterated logarithm for subsequences in Banach spaces, Prob. in Banach spaces VII, Progress in Prob. 2.1, p. 269-288, Birkhaüser, (1990). Zbl0703.60002MR1105561