2024-03-29T12:50:11Zhttps://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/1662082022-02-03T10:13:03Zcom_10234_7037com_10234_9col_10234_8635
Repositori UJI
author
Lizama, Carlos
author
murillo arcila, marina
2017-02-21T12:48:15Z
2017-02-21T12:48:15Z
2016-11
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.
http://hdl.handle.net/10234/166208
http://dx.doi.org/10.1215/17358787-3784616
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.
eng
© 2017 Project Euclid
maximal regularity
Lebesgue sequence spaces
UMD Banach spaces
R-boundedness
lattice models
ℓp-Maximal regularity for a class of fractional difference equations on umd spaces: the case 1<α≤2
info:eu-repo/semantics/article
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
URL
https://repositori.uji.es/xmlui/bitstream/10234/166208/1/BJMA.pdf
File
MD5
4a59242ba33c4e5fd5a9b81ca709219f
541335
application/pdf
BJMA.pdf
URL
https://repositori.uji.es/xmlui/bitstream/10234/166208/11/BJMA.pdf.txt
File
MD5
1cadeaf8ae92177be010f980c03328fc
34642
text/plain
BJMA.pdf.txt