Geodesic
On an Estimate of the Partial Sums of Vilenkin-Fourier
Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 426-432

Voir la notice de l'article provenant de la source Cambridge University Press

We show that the partial sums Snf of the Vilenkin-Fourier series of f ∊ L 1 are of exponential type off any set where the Hardy-Littlewood maximal function of f is bounded. It then follows that Snkf(x) = o(log log nk) a.e. for any lacunary sequence {nk}. Our results are Vilenkin-Fourier series analogues of those of R. A. Hunt [1].
DOI : 10.4153/CMB-1991-069-x
Mots-clés : 42C10, 43A75 
Young, Wo-Sang. On an Estimate of the Partial Sums of Vilenkin-Fourier. Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 426-432. doi: 10.4153/CMB-1991-069-x
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