On everywhere divergence of the strong $\Phi$-means of Walsh-Fourier series

Autor:	Gát, G., Goginava, U., Karagulyan, G.
Rok vydání:	2013
Předmět:	Mathematics - Classical Analysis and ODEs 42C10 42A24
Zdroj:	J. Math. Anal. Appl. 421 (2015), no. 1, 206-214
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jmaa.2014.07.016
Popis:	Almost everywhere strong exponential summability of Fourier series in Walsh and trigonometric systems established by Rodin in 1990. We prove, that if the growth of a function $\Phi(t):[0,\infty)\to[0,\infty)$ is bigger than the exponent, then the strong $\Phi$-summability of a Walsh-Fourier series can fail everywhere. The analogous theorem for trigonometric system was proved before by one of the author of this paper. Comment: 8 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1312.0855 Zobrazit plný text záznamu View this record from Arxiv