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An interpolation theorem and a sharp form of a multilinear fractional integration theorem

Author: Jong-Guk Bak
Journal: Proc. Amer. Math. Soc. 120 (1994), 435-441
MSC: Primary 46E30; Secondary 26A33, 42A38, 46M35
MathSciNet review: 1182696
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Abstract: We prove a sharp interpolation theorem for Orlicz spaces with the Luxemburg norm. As a corollary we obtain a sharp form of an exponential integrability theorem, due to Grafakos, for the multilinear fractional integration operator. This generalizes a theorem of Adams.

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Article copyright: © Copyright 1994 American Mathematical Society