A Multidimensional Wolff Theorem

Abstract

The authors consider multiparameter scales of interpolation spaces and prove a general form of the Wolff reiteration theorem [cf. T. H. Wolff, Lecture Notes Math. 908, 199- 204 (1982)] for n- tuples of Banach spaces. The proof, based on the use of the Aronszajn- Gagliardo orbit and co-orbit functors, is an adaptation of previous work by S. Janson, P. Nilsson, J. Peetre and M. Zafran [Proc. London Math. Soc., III.Ser. 48, 283-299 (1984)].