Mateusz Kwa'snicki

collaborators

3 papers

math.AP2024

Liouville's theorems for LÃ©vy operators

Tomasz Grzywny, Mateusz KwaÅnicki

Let $L$ be a LÃ©vy operator. A function $h$ is said to be harmonic with respect to $L$ if $L h = 0$ in an appropriate sense. We prove Liouville's theorem for positive functions har…

math.SP2024

Suprema of LÃ©vy processes with completely monotone jumps: spectral-theoretic approach

Mateusz KwaÅnicki

We study spectral-theoretic properties of non-self-adjoint operators arising in the study of one-dimensional LÃ©vy processes with completely monotone jumps with a one-sided barrier…

math.PR2024

Sharp $ℓ^{p}$ inequalities for discrete singular integrals on the lattice $Z^{d}$

Rodrigo BaÃ±uelos, Daesung Kim, Mateusz KwaÅnicki

This paper investigates higher dimensional versions of the longstanding conjecture verified in [BaÃ±uelos and KwaÅnicki, Duke Math. J. (2019)] that the $ℓ^{p}$ -norm of the discre…

Liouville's theorems for LÃ©vy operators

Suprema of LÃ©vy processes with completely monotone jumps: spectral-theoretic approach

Sharp ℓp inequalities for discrete singular integrals on the lattice Zd

Sharp $ℓ^{p}$ inequalities for discrete singular integrals on the lattice $Z^{d}$