Publication: Reiteration formulae for interpolation methods associated to polygons
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2009
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Academic Press-Elsevier
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Abstract
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.
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