2 papers
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…
math.CA2023
Variation and oscillation for semigroups associated with discrete Jacobi operators
Jorge J. Betancor, Marta De León-Contreras
In this paper we prove weighted -inequalities for variation and oscillation operators defined by semigroups of operators associated with discrete Jacobi operators. Also, we…