Lenka Slav'ikov'a

activity

20222026

collaborators

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3 papers · 1 filter

math.CA2024

Bilinear singular integral operators with kernels in weighted spaces

Petr Honzík, Stefanos Lappas, Lenka Slavíková

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.CA2023

Norm-variation of triple ergodic averages for commuting transformations

Polona Durcik, Lenka Slavíková, 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.CA2022

Multilinear singular integrals with homogeneous kernels near $L^{1}$

Georgios Dosidis, Lenka Slavíková

We obtain the optimal open range of $L^{p_{1}} (R^{n}) \times \dots \times L^{p_{m}} (R^{n}) \to L^{p} (R^{n})$ bounds for multilinear singular integral operators with homoge…

Bilinear singular integral operators with kernels in weighted spaces

Norm-variation of triple ergodic averages for commuting transformations

Multilinear singular integrals with homogeneous kernels near L1

Multilinear singular integrals with homogeneous kernels near $L^{1}$