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Interpolation of operators when the extreme spaces are $L^{โˆž}$

Interpolation of operators when the extreme spaces are $L^{โˆž}$

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 interpolat