3 papers
math.FA2026
Cesàro-Hardy operators on : fine spectrum, weighted Koopman semigroups and invariant subspaces
Luciano Abadías, Alejandro Mahillo, Pedro J. Miana
In this paper we study boundedness and detailed spectral properties for the Cesàro-Hardy operator and some generalizations in . The study employs -semigroup theory,…
math.AP2025
Asymptotic behavior of the fundamental solution of space-time fractional equations with a reaction term
Luciano Abadías, Claudio Carrasco, Juan C. Pozo
In this paper, we consider a space-time fractional partial differential equation with a reactive term. We describe the speed of invasion of its fundamental solution, extending rece…
math.AP2016
Non-local fractional derivatives. Discrete and continuous
Luciano Abadías, Marta de León-Contreras, José L. Torrea
We prove maximum and comparison principles for fractional discrete derivatives in the integers. Regularity results when the space is a mesh of length , and approximation theorem…