MOVING AVERAGES OF
SUPERADDITIVE PROCESSES WITH
RESPECT TO L_p-CONTRACTIONS, $1<p<\infty$

DOGAN ÇÖMEZ

Abstract:

It is shown that the moving averages of superadditive processes with respect to positive L_p-contractions converge almost everywhere, $1<p<\infty$. The dominated estimate for the moving averages of such superadditive processes is obtained from the dominated estimate for the moving averages of additive processes.