Mateusz Kwaśnicki

activity

20092026

most citedBoundary Harnack inequality for Markov processes with jumps

75 citations · 258 across the 15 of their papers we have counts for

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math.CA2017★ 13 cited

On the $l^{p}$ -norm of the discrete Hilbert transform

Rodrigo Bañuelos, Mateusz Kwaśnicki

Using a representation of the discrete Hilbert transform in terms of martingales arising from Doob $h$ -processes, we prove that its $l^{p}$ -norm, $1 < p < \infty$ , is bounded above by th…

math.CA2017

A new class of bell-shaped functions

Mateusz Kwaśnicki

We provide a large class of functions $f$ that are bell-shaped: the $n$ -th derivative of $f$ changes its sign exactly $n$ times. This class is described by means of Stieltjes-type…

On the lp-norm of the discrete Hilbert transform

A new class of bell-shaped functions

On the $l^{p}$ -norm of the discrete Hilbert transform