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Maximal operators of Fejér means of Walsh-Kaczmarz-Fourier series
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نویسنده
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goginava u. ,nagy k.
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منبع
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journal of function spaces - 2010 - دوره : 8 - شماره : 2 - صفحه:181 -200
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چکیده
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The main aim of this paper is to prove that there exists a martingale f ∈ h 1/2 such that the maximal fejér operator with respect to walsh-kaczmarz system does not belong to the space l 1/2. for the two-dimensional case,we prove that there exists a martingale f ∈ h □ 1/2(f ∈ h 1/2) such that the restricted (unrestricted) maximal operator of fejér means of two-dimensional walsh-kaczmarz-fourier series does not belong to the space weak-l 1/2. copyright © 2010 hindawi publishing corporation.
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کلیدواژه
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Fejér means; Hardy space; Walsh Kaczmarz system
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آدرس
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institute of mathematics,faculty of exact and natural sciences,tbilisi state university,chavchavadze str. 1, Georgia, institute of mathematics and computer sciences,college of nyíregyháza,p.o. box 166, Hungary
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Authors
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