Showing 2021Show all
2 papers · 1 filter
math.CA2021
On maximal function of discrete rough truncated Hilbert transforms
Maciej Paluszynski, Jacek Zienkiewicz
We prove the weak type (1,1) estimate for maximal function of the truncated rough Hilbert transform considered in [9] and [10]
math.FA2021
Dimension independent atomic decoposition for dyadic martingale
Maciej Paluszynski, Jacek Zienkiewicz
We introduce atoms for dyadic atomic for which the equivalence between atomic and maximal function defnitions is dimension independent. We give the sharp, up to fac…