Calderón couples of rearrangement invariant spaces

• Autorzy: N. J. Kalton
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46B70: Interpolation between normed linear spaces
• 46M35: Abstract interpolation of topological vector spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1993
• Tom: 106
• Numer: 3
• Strony: 233-277

Daty

wydano

1993

otrzymano

1992-10-27

Twórcy

autor

N. J. Kalton

• Department of Mathematics, University of Missouri-Columbia, Columbia, Missouri 65211, U.S.A.

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