Calderón couples of rearrangement invariant spaces

Kalton, N.

Kalton, N.

Studia Mathematica, Tome 104 (1993), p. 233-277 / Harvested from The Polish Digital Mathematics Library

Résumé

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 $L_{\infty} .$ 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 $(L_{F}, L_{\infty})$ forms a Calderón pair.

Publié le : 1993-01-01

Zbl 0810.46020

EUDML-ID : urn:eudml:doc:216016

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     author = {N. Kalton},
     title = {Calder\'on couples of rearrangement invariant spaces},
     journal = {Studia Mathematica},
     volume = {104},
     year = {1993},
     pages = {233-277},
     zbl = {0810.46020},
     language = {en},
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Kalton, N. Calderón couples of rearrangement invariant spaces. Studia Mathematica, Tome 104 (1993) pp. 233-277. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv106i3p233bwm/

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