@misc{10498/35441,
year = {2017},
url = {http://hdl.handle.net/10498/35441},
abstract = {By using Blunck's operator-valued Fourier multiplier theorem, we
completely characterize the existence and uniqueness of solutions in Lebesgue
spaces of sequences for a discrete version of the Cauchy problem with fractional
order $1 <\alpha< 2$. This characterization is given solely in spectral terms on the
data of the problem, whenever the underlying Banach space belongs to the
UMD-class.},
keywords = {Maximal regularity},
keywords = {Lebesgue spaces of sequences},
keywords = {UMD Banach spaces},
keywords = {R-boundedness},
keywords = {lattice models},
title = {ℓp-maximal regularity for a class of fractional difference equations on UMD spaces. The case 1 < α < 2.},
doi = {10.1215/17358787-3784616},
author = {Lizama, Carlos and Murillo Arcila, Marina},
}