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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 4, Pages 811–816 (Mi smj1746)  
$\Lambda(\Psi)$-Fluctuation and the Fourier-Walsh series of bounded functions

S. F. Lukomskii

Saratov State University named after N. G. Chernyshevsky
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Abstract: We consider the questions of convergence of Fourier–Walsh series in Lorentz spaces. Some condition is given on a function $f$ sufficient for its Fourier–Walsh series to converge in the Lorentz spaces “near” $L_\infty$. We show that this result is sharp.
Keywords: Fourier–Walsh series, convergence, Lorentz spaces.
Received: 18.11.2005
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 4, Pages 648–652
DOI: https://doi.org/10.1007/s11202-007-0066-5
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Language: Russian
Citation: S. F. Lukomskii, “$\Lambda(\Psi)$-Fluctuation and the Fourier-Walsh series of bounded functions”, Sibirsk. Mat. Zh., 48:4 (2007), 811–816; Siberian Math. J., 48:4 (2007), 648–652
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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