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Convergence in measure of logarithmic means of quadratical partial sums of double 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 - 2012 - دوره : 2012 - شماره : 0
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چکیده
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The main aim of this paper is to prove that the logarithmic means of quadratical partial sums of the double walsh-kaczmarz series does not improve the convergence in measure. in other words,we prove that for any orlicz space,which is not a subspace of l log + l(i 2),the set of the functions the logarithmic means of quadratical partial sums of the double walsh-kaczmarz series of which converge in measure is of first baire category. copyright © 2012 ushangi goginava and kroly nagy.
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آدرس
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institute of mathematics,faculty of exact and natural sciences,tbilisi state university,chavchavadze street 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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