activity
20142026
most citedNorm-variation of ergodic averages with respect to two commuting transformations

22 citations · 105 across the 26 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.CA2019

Directional maximal function along the primes

Laura Cladek, Polona Durcik, Ben Krause +1

We study a two-dimensional discrete directional maximal operator along the set of the prime numbers. We show existence of a set of vectors, which are lattice points in a sufficient…

math.CA2019★ 1 cited

Singular Brascamp-Lieb: a survey

Polona Durcik, Christoph Thiele

We present an overview of results on multi-linear singular integrals in the broader context of Brascamp-Lieb inequalities. This elaborates a lecture given at the inspiring conferen…

math.DS2019★ 2 cited

Norm-variation of cubic ergodic averages

Polona Durcik, Kristina Ana Škreb

We prove a quantitative result on norm convergence of cubic ergodic averages with respect to commuting measure-preserving transformations. We use harmonic analysis techni…