ℓp-Maximal regularity for a class of fractional difference equations on umd spaces: the case 1<α≤2

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comunitat-uji-handle:10234/9

comunitat-uji-handle2:10234/7037

comunitat-uji-handle3:10234/8635

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Title
ℓp-Maximal regularity for a class of fractional difference equations on umd spaces: the case 1<α≤2
Author (s)
Lizama, CarlosOrcidScopusResearcherID;
Murillo-Arcila, Marina
Date
2016-11
URI
http://hdl.handle.net/10234/166208
Publisher version
http://projecteuclid.org/euclid.bjma/1480474819#info
DOI
http://dx.doi.org/10.1215/17358787-3784616
Publisher
Duke University Press
Abstract
By using Blunck’s operator-valued Fourier multiplier theorem, we completely characterize the existence and uniqueness of solutions in Lebesgue sequence spaces for a discrete version of the Cauchy problem with fractional ... [+]
By using Blunck’s operator-valued Fourier multiplier theorem, we completely characterize the existence and uniqueness of solutions in Lebesgue sequence spaces for a discrete version of the Cauchy problem with fractional order 1<α≤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. [-]
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Bibliographic citation
Lizama, Carlos; Murillo-Arcila, Marina. ℓ p -maximal regularity for a class of fractional difference equations on UMD spaces: The case 1 &lt; α ≤ 2 . Banach J. Math. Anal. 11 (2017), no. 1, 188--206. doi:10.1215/17358787-3784616. http://projecteuclid.org/euclid.bjma/1480474819.
Type
info:eu-repo/semantics/article
Rights
© 2017 Project Euclid
info:eu-repo/semantics/openAccess
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