Sur un théorème d'interpolation
Hardy's inequality is used to give trace results, approximation and intermediate derivative properties for some weighted Banach spaces of generalized Sobolev type.
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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