RT journal article
T1 ℓp-maximal regularity for a class of fractional difference equations on UMD spaces. The case 1 < α < 2.
A1 Lizama, Carlos
A1 Murillo Arcila, Marina
A2 Matemáticas
K1 Maximal regularity
K1 Lebesgue spaces of sequences
K1 UMD Banach spaces
K1 R-boundedness
K1 lattice models
AB By using Blunck's operator-valued Fourier multiplier theorem, wecompletely characterize the existence and uniqueness of solutions in Lebesguespaces of sequences for a discrete version of the Cauchy problem with fractionalorder $1 <\alpha< 2$. This characterization is given solely in spectral terms on thedata of the problem, whenever the underlying Banach space belongs to theUMD-class.
SN 1735-8787
YR 2017
FD 2017
LK http://hdl.handle.net/10498/35441
UL http://hdl.handle.net/10498/35441
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026