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20152022
most citedPrecise tail asymptotics of fixed points of the smoothing transform with general weights

14 citations · 15 across the 4 of their papers we have counts for

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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…

math.FA2020

On Inverses of Discrete Rough Hilbert Transforms

Maciej Paluszynski, Jacek Zienkiewicz

We describe the structure of the resolvent of the discrete rough truncated Hilbert transform under the critical exponent. This extends the results obtained in [8].

math.FA2017

Weak type (1,1) estimates for inverses of discrete rough singular integral operators

Maciej Paluszynski, Jacek Zienkiewicz

We obtain weak type (1,1) estimates for the inverses of truncated discrete rough Hilbert transform. We include an ex- ample showing that our result is sharp. One of the ingredients…