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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An interpolation theorem and a sharp form of a multilinear fractional integration theorem
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by Jong-Guk Bak PDF
Proc. Amer. Math. Soc. 120 (1994), 435-441 Request permission

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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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 120 (1994), 435-441
  • MSC: Primary 46E30; Secondary 26A33, 42A38, 46M35
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1182696-X
  • MathSciNet review: 1182696