ℓp-Maximal regularity for a class of fractional difference equations on umd spaces: the case 1<α≤2
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Title
ℓp-Maximal regularity for a class of fractional difference equations on umd spaces: the case 1<α≤2Date
2016-11Publisher
Duke University PressBibliographic citation
Lizama, Carlos; Murillo-Arcila, Marina. ℓ p -maximal regularity for a class of fractional difference equations on UMD spaces: The case 1 < α ≤ 2 . Banach J. Math. Anal. 11 (2017), no. 1, 188--206. doi:10.1215/17358787-3784616. http://projecteuclid.org/euclid.bjma/1480474819.Type
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http://projecteuclid.org/euclid.bjma/1480474819#infoVersion
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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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Banach J. Math. Anal. 11 (2017), no. 1,Rights
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