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Reiteration formulae for interpolation methods associated to polygons

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Cobos, Fernando and Richter, Christian and Ullrich, Tino (2009) Reiteration formulae for interpolation methods associated to polygons. Journal of Mathematical Analysis and Applications, 352 (2). pp. 773-787. ISSN 0022-247X

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Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X08011165


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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.


Item Type:Article
Uncontrolled Keywords:Banach-Spaces; Compact-Operators; Duality; Interpolation methods associated to polygons; Reiteration; Lorentz function spaces; Besov spaces; Mathematics, Applied; Mathematics
Subjects:Sciences > Mathematics > Topology
ID Code:14927
Deposited On:20 Apr 2012 11:04
Last Modified:21 Jun 2018 08:08

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