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Strong Convergence Theorems for Two Parameter Vilenkin-Fourier Series

โœ Scribed by P. Simon; F. Weisz


Book ID
110241207
Publisher
Akadmiai Kiad
Year
2000
Tongue
English
Weight
661 KB
Volume
86
Category
Article
ISSN
1588-2632

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Strong Convergence Theorem for Vilenkinโ€“
โœ Pรฉter Simon ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 VilenkinแސFourier series. It will be shown that these means, as operators from H p to L p , are bounded.