Geodesic
Interpolation of operators when the extreme spaces are $L^{∞}$
Studia Mathematica, Tome 104 (1993) no. 2, pp. 133-150

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Under some assumptions on the pair $(A_0,B_0)$, we study equivalence between interpolation properties of linear operators and monotonicity conditions for a pair (Y,Z) of rearrangement invariant quasi-Banach spaces when the extreme spaces of the interpolation are $L^∞$. Weak and restricted weak intermediate spaces fall within our context. Applications to classical Lorentz and Lorentz-Orlicz spaces are given.
DOI : 10.4064/sm-104-2-133-150

Jesús Bastero 1

1 
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Jesús Bastero. Interpolation of operators when the extreme spaces are $L^{∞}$. Studia Mathematica, Tome 104 (1993) no. 2, pp. 133-150. doi: 10.4064/sm-104-2-133-150

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