Lenka Slav'ikov'a

collaborators

3 papers

math.CA2025

Norm-variation of triple ergodic averages for commuting transformations

Polona Durcik, Lenka SlavÃkovÃ¡, Christoph Thiele

We prove an $r$ -variation estimate, $r > 4$ , in the norm for ergodic averages with respect to three commuting transformations. It is not known whether such estimates hold for all $r\…

math.CA2025

Bilinear singular integral operators with kernels in weighted spaces

Petr HonzÃk, Stefanos Lappas, Lenka SlavÃkovÃ¡

We establish the full quasi-Banach range of $L^{p_{1}} (R) \times L^{p_{2}} (R) \to L^{p} (R)$ bounds for one-dimensional bilinear singular integral operator…

math.FA2024

Dimension-free estimates for low degree functions on the Hamming cube

Komla Domelevo, Polona Durcik, Valentia Fragkiadaki +4

The main result of this paper are dimension-free $L^{p}$ inequalities, $1 < p < \infty$ , for low degree scalar-valued functions on the Hamming cube. More precisely, for any $p > 2,$ $\vare…