Cobos, Fernando and Fernandez-Cabrera , Luz and Kuehn, Thomas and Ullrich, Tino (2009) On an Extreme Class of Real Interpolation Spaces. Journal of Functional Analysis , 256 (7). pp. 2321-2366. ISSN 0022-1236
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Official URL: http://www.sciencedirect.com/science/article/pii/S0022123608005417
Abstract
We investigate the limit class of interpolation spaces that comes up by the choice θ = 0 in the definition of the real method. These spaces arise naturally interpolating by the J -method associated to the unit square. Their duals coincide with the other extreme spaces obtained by the choice θ = 1. We also study the behavior of compact operators under these two extreme interpolation methods. Moreover, we establish some interpolation formulae for function spaces and for spaces of operators.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Extreme interpolation spaces; Real interpolation; J -functional; K-functional; Interpolation methods; Compact-Operators; Banach-Spaces; Polygons; Extrapolation; Reiteration; Duality; Mathematics associated to polygons; Compact operators; Lorentz–Zygmund function spaces; Spaces of operators |
| Subjects: | Sciences > Mathematics > Mathematical analysis |
| ID Code: | 14957 |
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| Deposited On: | 24 Apr 2012 13:06 |
| Last Modified: | 23 Oct 2013 18:33 |
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