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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…
math.CA2024
Phase space localizing operators
Marco Fraccaroli, Olli Saari, Christoph Thiele
We construct phase space localizing operators in all dimensions. These are frequency localized variants of the conditional expectation operator related to a dyadic stopping time. O…