TY - JOUR
AU - N. Nadirashvili
PY - 2023/07/25
Y2 - 2024/09/11
TI - Almost everywhere convergence of $T$ means with respect to the Vilenkin system of integrable functions
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 75
IS - 7
SE - Research articles
DO - 10.37863/umzh.v75i7.7163
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/7163
AB - UDC 517.5We prove and discuss some new weak-type (1,1) inequalities for the maximal operators of $T$ means with respect to the Vilenkin system generated by monotone coefficients. We also apply these results to prove that these $T$ means are almost everywhere convergent. As applications, we present both some well-known and new results.
ER -