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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Interpolation between $ H\sp{1}$ and $ L\sp{\infty }$

Author: Barbara D. MacCluer
Journal: Proc. Amer. Math. Soc. 88 (1983), 234-236
MSC: Primary 46E30; Secondary 42B30, 46M35
MathSciNet review: 695249
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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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Additional Information

PII: S 0002-9939(1983)0695249-7
Keywords: Real interpolation, $ {H^1}$, Lorentz spaces
Article copyright: © Copyright 1983 American Mathematical Society

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