Strong Convergence Theorem for Vilenkinβ
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PΓ©ter Simon
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Article
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2000
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Elsevier Science
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English
β 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 VilenkinαFourier series. It will be shown that these means, as operators from H p to L p , are bounded.