5 papers
A blueprint for the formalization of norm-variation of multiple ergodic averages for commuting transformations
Floris van Doorn, Polona Durcik, Joris Roos +2
This blueprint serves as a companion to a forthcoming, shorter traditional mathematical paper. The purpose of this blueprint is two-fold: first, it has served as the foundation for…
Bilinear singular integral operators with kernels in weighted spaces
Petr Honzík, Stefanos Lappas, Lenka Slavíková
We establish the full quasi-Banach range of bounds for one-dimensional bilinear singular integral operator…
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 inequalities, , for low degree scalar-valued functions on the Hamming cube. More precisely, for any $\vare…
Norm-variation of triple ergodic averages for commuting transformations
Polona Durcik, Lenka Slavíková, 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\…
Multilinear singular integrals with homogeneous kernels near
Georgios Dosidis, Lenka Slavíková
We obtain the optimal open range of bounds for multilinear singular integral operators with homoge…