a.e. Convergence of N\"orlund means with respect to Vilenkin systems of integrable functions

Abstract

In this paper we derive converge of N\"orlund means of Vilenkin-Fourier series with monotone coefficients of integrable functions in Lebesgue and Vilinkin-Lebesgue points. Moreover, we discuss pointwise and norm convergence in $L_p$ norms of such N\"orlund means.Comment: arXiv admin note: substantial text overlap with arXiv:2107.0201