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Saturation theorems for Hermite-Fourier series

✍ Scribed by I. Joó

Publisher
Akadmiai Kiad
Year
1991
Tongue
English
Weight
421 KB
Volume
57
Category
Article
ISSN
1588-2632

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Strong Convergence Theorem for Vilenkin–
Strong Convergence Theorem for Vilenkin–Fourier Series
✍ Péter Simon 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 130 KB

The so-called Vilenkin systems and the Hardy spaces H 0p F 1 with respect to Vilenkin groups will be considered. We investigate certain means of the partial sums of Vilenkin᎐Fourier series. It will be shown that these means, as operators from H p to L p , are bounded.