Convergence of Moving Averages of Multiparameter Superadditive Processes

摘要

It is shown that moving averages sequencesare good in the mean for multiparameter strongly superadditive processesin L1, and good in the p-mean for multiparameter admissiblesuperadditive processes in Lp, 1≦ p∞. Also,using a decomposition theorem in Lp-spaces, a.e. convergence ofthe moving averages of multiparameter superadditive processes with respect to positive Lp-contractions, 1p∞, is obtained.