RT Journal Article
T1 Reiteration formulae for interpolation methods associated to polygons
A1 Cobos Díaz, Fernando
A1 Richter, Christian
A1 Ullrich, Tino
AB 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.
PB Academic Press-Elsevier
SN 0022-247X
YR 2009
FD 2009
LK https://hdl.handle.net/20.500.14352/49852
UL https://hdl.handle.net/20.500.14352/49852
LA eng
NO Ministerio de Ciencia, Innovación y Universidades (España)
NO Comunidad de Madrid
NO Sociedad Alemana de Investigación
NO Servicio Alemán de Intercambio Académico
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 7 abr 2025