The commutator [b, I_α] is bounded from the Orlicz-Hardy space H_b^φ(R^n) to L^{n/(n-α)}(R^n) and from H^φ(R^n) to the weak space L^{n/(n-α),∞}(R^n).
Paluszy ´nski, Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss
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Boundedness of commutator generated by fractional integral operator and Orlicz-BMO function
The commutator [b, I_α] is bounded from the Orlicz-Hardy space H_b^φ(R^n) to L^{n/(n-α)}(R^n) and from H^φ(R^n) to the weak space L^{n/(n-α),∞}(R^n).