%0 Journal Article 
%A Lizama, Carlos
%A Murillo Arcila, Marina
%T ℓp-maximal regularity for a class of fractional difference equations on UMD spaces. The case 1 < α < 2.
%D 2017
%@ 1735-8787
%U http://hdl.handle.net/10498/35441
%X 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.
%K Maximal regularity
%K Lebesgue spaces of sequences
%K UMD Banach spaces
%K R-boundedness
%K lattice models
%~ Universidad de Cádiz