29 citations · 181 across the 37 of their papers we have counts for
6 papers · 2 filters
Square function estimates for discrete Radon transforms
Mariusz Mirek
We show boundedness, for , of discrete singular integrals of Radon type with the aid of appropriate square function estimates, which…
L^p(Z^d)-estimates for discrete operators of Radon type: Variational estimates
Mariusz Mirek, Elias M. Stein, Bartosz Trojan
We prove bounds for , of -variations , for discrete averaging operators and truncated singular integrals of Radon…
-estimates for discrete operators of Radon type: Maximal functions and vector-valued estimates
Mariusz Mirek, Elias M. Stein, Bartosz Trojan
We prove bounds, for , of discrete maximal functions corresponding to averaging operators and truncated singular integrals of Radon t…
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…
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,…
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…