Interpolation between 𝐻¹ and 𝐿^{∞}

MacCluer, Barbara D.

doi:10.1090/S0002-9939-1983-0695249-7

Interpolation between $H^{1}$ and $L^{\infty }$
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by Barbara D. MacCluer PDF

Proc. Amer. Math. Soc. 88 (1983), 234-236 Request permission

Abstract:

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

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