TY - GEN AU - Lizama, Carlos AU - Murillo Arcila, Marina A4 - Matemáticas PY - 2017 SN - 1735-8787 UR - http://hdl.handle.net/10498/35441 AB - 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 $1 <\alpha< 2$.... LA - eng KW - Maximal regularity KW - Lebesgue spaces of sequences KW - UMD Banach spaces KW - R-boundedness KW - lattice models TI - ℓp-maximal regularity for a class of fractional difference equations on UMD spaces. The case 1 < α < 2. DO - 10.1215/17358787-3784616 ER -