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

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Zbl MR
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. 
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/
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     title = {On {Derivatives} of {Complex} {Order} in {Some} {Weighted} {Banach} {Spaces} and {Interpolation}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {459--480},
     year = {2013},
     volume = {Ser. 9, 6},
     number = {2},
     zbl = {1292.46012},
     mrnumber = {3112989},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_2_a10/}
}
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