If X satisfies div(L^∞ ∩ X) = div X, then the real interpolation spaces (L^∞, X)_{θ,q} also satisfy this equality for θ in (0,1) and q in [1,∞).
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Bourgain-Brezis spaces obtained by real interpolation
If X satisfies div(L^∞ ∩ X) = div X, then the real interpolation spaces (L^∞, X)_{θ,q} also satisfy this equality for θ in (0,1) and q in [1,∞).