2 papers
math.FA2024
A Ritt-Kreiss condition: spectral localization and norm estimates
Alejandro Mahillo, Silvia Rueda
A new condition is introduced by generalizing the Ritt and Kreiss operators named -RK condition. Geometrical properties of the spectrum for the case are studied, mor…
math.CA2024
Discrete Besov spaces via semigroups associated to the discrete Laplacian and regularity of non-local operators
Luciano Abadias, Marta De León-Contreras, Alejandro Mahillo
In this paper we prove characterizations of the discrete Besov spaces in terms of the heat and Poisson semigroups associated with the discrete Laplacian that will allow us to prove…