2 papers
math.CA2025
Norm-variation of triple ergodic averages for commuting transformations
Polona Durcik, Lenka SlavÃková, Christoph Thiele
We prove an -variation estimate, , in the norm for ergodic averages with respect to three commuting transformations. It is not known whether such estimates hold for all $r\…
math.CA2024
Maximal multilinear operators
Ciprian Demeter, Terence Tao, Christoph Thiele
We establish multilinear bounds for a class of maximal multilinear averages of functions on one variable, reproving and generalizing the bilinear maximal function bounds of L…