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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 4, Pages 811–816
(Mi smj1746)
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$\Lambda(\Psi)$-Fluctuation and the Fourier-Walsh series of bounded functions
S. F. Lukomskii Saratov State University named after N. G. Chernyshevsky
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
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
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https://www.mathnet.ru/eng/smj1746 https://www.mathnet.ru/eng/smj/v48/i4/p811
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Abstract page: | 229 | Full-text PDF : | 81 | References: | 44 |
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