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Strong Convergence Theorem for Vilenkin–Fourier Series

✍ Scribed by Péter Simon

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
130 KB
Volume
245
Category
Article
ISSN
0022-247X

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✦ Synopsis

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.

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