1 citations · 1 across the 7 of their papers we have counts for
7 papers
Dirichlet--Neumann bracketing for nonlocal operators
Mateusz Kwaśnicki, Jacek Wszoła
We establish Dirichlet--Neumann bracketing for the Dirichlet eigenvalues of on bounded Lipschitz domains, where is an arbitrary complete Bernstein function. The eigenva…
Liouville's theorems for Lévy operators
Tomasz Grzywny, Mateusz Kwaśnicki
Let be a Lévy operator. A function is said to be harmonic with respect to if in an appropriate sense. We prove Liouville's theorem for positive functions harm…
Suprema of Lévy processes with completely monotone jumps: spectral-theoretic approach
Mateusz Kwaśnicki
We study spectral-theoretic properties of non-self-adjoint operators arising in the study of one-dimensional Lévy processes with completely monotone jumps with a one-sided barrier.…
Axioms for Constant Function Market Makers
Jan Christoph Schlegel, Mateusz Kwaśnicki, Akaki Mamageishvili
We study axiomatic foundations for different classes of constant-function automated market makers (CFMMs). We focus particularly on separability and on different invariance propert…
The norm of the Riesz--Titchmarsh transform for even integer
Rodrigo Bañuelos, Mateusz Kwaśnicki
The long-standing conjecture that for the norm of the Riesz--Titchmarsh discrete Hilbert transform is the same as the norm…
Sharp inequalities for discrete singular integrals on the lattice
Rodrigo Bañuelos, Daesung Kim, Mateusz Kwaśnicki
This paper investigates higher dimensional versions of the longstanding conjecture verified in [Bañuelos and Kwaśnicki, Duke Math. J. (2019)] that the -norm of the discrete…