2 citations · 2 across the 3 of their papers we have counts for
5 papers
Discrete Hölder spaces, their characterization via semigroups associated to the discrete Laplacian and kernels estimates
Luciano Abadias, Marta De León-Contreras
In this paper we characterize the discrete Hölder spaces by means of the heat and Poisson semigroups associated to the discrete Laplacian. These characterizations allow us to get r…
Harnack inequalities and Hölder estimates for master equations
A. Biswas, M. De León-Contreras, P. R. Stinga
We study master equations of the form where is a divergence form elliptic operator and . These a…
Schauder estimates for discrete fractional integrals
Luciano Abadias, Marta De León-Contreras, José L. Torrea
In this note we focus on the discrete fractional integrals as a natural continuation of our previous work about nonlocal fractional derivatives, discrete and continuous. We define…
Fractional powers of the parabolic Hermite operator. Regularity properties
Marta de León-Contreras, José L. Torrea
Let . Consider its Poisson semigroup . For define the Parabolic Hermite-Zygmund spaces $$ Λ^α_{\mathcal{L}}=\lef…
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…