Abstract
Given E0,E1,E,F rearrangement invariant spaces, a,b,b0,b1 slowly varying functions and 0≤θ0<θ1≤1, we characterize the interpolation spaces(X‾θ0,b0,E0,a,FR,X‾θ1,b1,E1)θ,b,E,(X‾θ0,b0,E0,X‾θ1,b1,E1,a,FL)θ,b,E, for all possible values of θ∈[0,1]. As application of our results we prove interpolation formulas for grand and small Lebesgue spaces.
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