%0 Journal Article
%A Cobos Díaz, Fernando
%A Richter, Christian
%A Ullrich, Tino
%T Reiteration formulae for interpolation methods associated to polygons
%D 2009
%@ 0022-247X
%U https://hdl.handle.net/20.500.14352/49852
%X We study spaces generated by applying the interpolation methods defined by a polygon Π to an N-tuple of real interpolation spaces with respect to a fixed Banach couple {X, Y }. We show that if the interior point (α,β) of the polygon does not lie in any diagonal of Π then the interpolation spaces coincide with sums and intersections of real interpolation spaces generated by {X, Y }. Applications are given to N-tuples formed by Lorentz function spaces and Besov spaces. Moreover, we show that results fail in general if (α,β) is in a diagonal.
%~