Article ID Journal Published Year Pages File Type
4621233 Journal of Mathematical Analysis and Applications 2008 7 Pages PDF
Abstract
In the paper we consider T1,…,Td absolute contractions of von Neumann algebra M with normal, semifinite, faithful trace, and prove that for every bounded Besicovitch weight {a(k)}k∈Nd and every x∈Lp(M) (p>1) the averagesAN(x)=1|N|∑k=1Na(k)Tk(x) converge bilaterally almost uniformly in Lp(M).
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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