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The intermediate spaces in the Lions-Peetre method of interpolation between      H 1 {H^1}       and      L ∞  {L^\infty }       were identified by N. Rivière and Y. Sagher as Lorentz      L ( p , q ) L(p,q)       spaces. In this article we present a simplification of their proof of this result.

Interpolation between 𝐻¹ and 𝐿^{∞}