Lebesgue and Vilenkin-Lebesgue points and a.e. Convergence of T means with respect to Vilenkin systems of integrable functions

Abstract

In this paper we derive converge of $T$ 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 $T$ means.

arXiv admin note: text overlap with arXiv:2106.11836. substantial text overlap with arXiv:2101.09196 by other authors

References in corpus (4)

• Fejér means of Vilenkin-Fourier series
• The maximal operators of logarithmic means of one-dimensional Vilenkin-Fourier series
• Maximal operators of $T$ means with respect to the Vilenkin system
• A note on The maximal operators of the Nörlund logaritmic means of Vilenkin-Fourier series