ar X iv : m at h / 05 10 58 1 v 1 [ m at h . C A ] 2 6 O ct 2 00 5 MAXIMAL MULTILINEAR OPERATORS
نویسنده
چکیده
CIPRIAN DEMETER, TERENCE TAO, AND CHRISTOPH THIELE Abstract. We establish multilinear L bounds for a class of maximal multilinear averages of functions on one variable, reproving and generalizing the bilinear maximal function bounds of Lacey [13]. As an application we obtain almost everywhere convergence results for these averages, and in some cases we also obtain almost everywhere convergence for their ergodic counterparts on a dynamical system.
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