Schauder estimates for discrete fractional integrals
Analysis of PDEs
2017-08-15 v1
Abstract
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 the discrete fractional integrals by using the semigroup theory and we study the regularity of {discrete fractional integrals} on the discrete H\"older spaces, which it is known in the differential equations field as the discrete Schauder estimates.
Cite
@article{arxiv.1708.03790,
title = {Schauder estimates for discrete fractional integrals},
author = {Luciano Abadias and Marta De León-Contreras and José L. Torrea},
journal= {arXiv preprint arXiv:1708.03790},
year = {2017}
}