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

2021/07/01 by Baramidze, Davit, Gogolashvili, Nato, Nadirashvili, Nato
#42C10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2107.02011

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.

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