24 citations · 80 across the 13 of their papers we have counts for
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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…
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].
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…
A characterization of Hardy spaces associated with certain Schrödinger operators
Jacek Dziubański, Jacek Zienkiewicz
Let be the semigroup of linear operators generated by a Schrödinger operator on , , where satisfies $Δ^{-1} V\in L^\…