Abstract
UDC 517.5
We 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.
Publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Subject
General Earth and Planetary Sciences,General Engineering,General Environmental Science
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