22 citations · 105 across the 26 of their papers we have counts for
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math.CO2016★ 17 cited
On side lengths of corners in positive density subsets of the Euclidean space
Polona Durcik, Vjekoslav Kovač, Luka Rimanić
We generalize a result by Cook, Magyar, and Pramanik [3] on three-term arithmetic progressions in subsets of to corners in subsets of $\mathbb{R}^d\times\mathbb{R}^d…
math.CA2016★ 11 cited
Power-type cancellation for the simplex Hilbert transform
Polona Durcik, Vjekoslav Kovač, Christoph Thiele
We prove bounds for the truncated simplex Hilbert transform which grow with a power less than one of the truncation range in the logarithmic scale.
math.DS2016★ 22 cited
Norm-variation of ergodic averages with respect to two commuting transformations
Polona Durcik, Vjekoslav Kovač, Kristina Ana Škreb +1
We study double ergodic averages with respect to two general commuting transformations and establish a sharp quantitative result on their convergence in the norm. We approach the p…