Geodesic
On Derivatives of Complex Order in Some Weighted Banach Spaces and Interpolation
Bollettino della Unione matematica italiana, Série 9, Tome 6 (2013) no. 2, pp. 459-480

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Notion of complex derivatives is used to prove interpolation theorems mainly in weighted Banach spaces studied in [5]. A conjecture of [4], concerning the weights is solved and a characterization is given. Thus [3], [4], [5], are somewhat revisited. 
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     author = {Artola, Michel},
     title = {On {Derivatives} of {Complex} {Order} in {Some} {Weighted} {Banach} {Spaces} and {Interpolation}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {459--480},
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     volume = {Ser. 9, 6},
     number = {2},
     year = {2013},
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     mrnumber = {3112989},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_2_a10/}
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Artola, Michel. On Derivatives of Complex Order in Some Weighted Banach Spaces and Interpolation. Bollettino della Unione matematica italiana, Série 9, Tome 6 (2013) no. 2, pp. 459-480. http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_2_a10/