Quasiuniversal Fourier–Walsh Series for the Classes Lp[0, 1], p > 1

Аннотация

It is proved that, for each number p > 1, there exists a function L¹[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.