%0 Journal Article %A Leal, C. %A Lizama, Carlos %A Murillo Arcila, Marina %T Lebesgue regularity for nonlocal time-discrete equations with delays %D 2018 %@ 1314-2224 %U http://hdl.handle.net/10498/35401 %X In this work, we provide a new and e ective characterization for the existence and uniqueness of solutions for nonlocal time-discrete equations with delays, in the setting of vector-valued Lebesgue spaces of sequences. This characterization is given solely in terms of the R-boundedness of the data of the problem, and in the context of the class of UMD Banach spaces. %K fractional differences %K Lebesgue regularity %K time-discrete equations %K delay %~ Universidad de Cádiz