Quasiuniversal Fourier--Walsh Series for the Classes~$L^p[0,1]$, $p>1$

A. A. Sargsyan

Matematičeskie zametki, Tome 104 (2018) no. 2, pp. 273-288.

Résumé

It is proved that, for each number $p>1$, there exists a function $L^1[0,1]$ whose Fourier–Walsh series is quasiuniversal with respect to subseries-signs in the class $L^p[0,1]$ in the sense of $L^p$-convergence.

Détail

Keywords: universal series, Walsh system
Mots-clés : Fourier coefficients, $L^p$-convergence.

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