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math.CA2015
A local theorem for perfect multilinear Calderón-Zygmund operators
Mariusz Mirek, Christoph Thiele
We prove a multilinear local theorem that differs from previously considered multilinear local theorems in using exclusively general testing functions as opposed…
math.CA2015
On the Hardy--Littlewood majorant problem for arithmetic sets
Ben Krause, Mariusz Mirek, Bartosz Trojan
The aim of this paper is to exhibit a wide class of sparse deterministic sets, , so that \[ \limsup_{N \to \infty} N^{-1}|\mathbf B \cap [1,N]|= 0,…
math.CA2015
Two-parameter version of Bourgain's inequality: Rational frequencies
Ben Krause, Mariusz Mirek, Bartosz Trojan
Our aim is to establish the first two-parameter version of Bourgain's maximal logarithmic inequality on for the rational frequencies. We achieve this by introduc…