Geodesic
Calderón couples of rearrangement invariant spaces
Studia Mathematica, Tome 106 (1993) no. 3, pp. 233-277

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We examine conditions under which a pair of rearrangement invariant function spaces on [0,1] or [0,∞) form a Calderón couple. A very general criterion is developed to determine whether such a pair is a Calderón couple, with numerous applications. We give, for example, a complete classification of those spaces X which form a Calderón couple with $L_∞.$ We specialize our results to Orlicz spaces and are able to give necessary and sufficient conditions on an Orlicz function F so that the pair $(L_F,L_∞)$ forms a Calderón pair.
DOI : 10.4064/sm-106-3-233-277

N. J. Kalton 1

1 
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N. J. Kalton. Calderón couples of rearrangement invariant spaces. Studia Mathematica, Tome 106 (1993) no. 3, pp. 233-277. doi: 10.4064/sm-106-3-233-277

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