ℓp-maximal regularity for a class of fractional difference equations on UMD spaces. The case 1 < α < 2.

dc.contributor.author	Lizama, Carlos
dc.contributor.author	Murillo Arcila, Marina
dc.contributor.other	Matemáticas	es_ES
dc.date.accessioned	2025-02-14T08:28:29Z
dc.date.available	2025-02-14T08:28:29Z
dc.date.issued	2017
dc.identifier.issn	1735-8787
dc.identifier.uri	http://hdl.handle.net/10498/35441
dc.description.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.	es_ES
dc.format	application/pdf	es_ES
dc.language.iso	eng	es_ES
dc.source	Banach J. Math. Anal., 11(1) (2017), 188–206	es_ES
dc.subject	Maximal regularity	es_ES
dc.subject	Lebesgue spaces of sequences	es_ES
dc.subject	UMD Banach spaces	es_ES
dc.subject	R-boundedness	es_ES
dc.subject	lattice models	es_ES
dc.title	ℓp-maximal regularity for a class of fractional difference equations on UMD spaces. The case 1 < α < 2.	es_ES
dc.type	journal article	es_ES
dc.rights.accessRights	open access	es_ES
dc.identifier.doi	10.1215/17358787-3784616
dc.type.hasVersion	AM	es_ES