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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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On a negative result concerning interpolation with change of measures for Lorentz spaces
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by Elida V. Ferreyra PDF
Proc. Amer. Math. Soc. 125 (1997), 1413-1417 Request permission

Abstract:

In this note we show that the Stein-Weiss theorem on $L^p$ interpolation with change of measures cannot be extended to Lorentz spaces $L^{p,s}.$
References
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Additional Information
  • Elida V. Ferreyra
  • Affiliation: Fa.M.A.F., Universidad Nacional de Córdoba, Ciudad Universitaria, 5000 - Córdoba, Argentina
  • Email: eferrey@mate.uncor.edu
  • Received by editor(s): May 25, 1995
  • Received by editor(s) in revised form: November 16, 1995
  • Additional Notes: Partially supported by CONICET, CONICOR, SECYT (UNC), Argentina.
  • Communicated by: J. Marshall Ash
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 1413-1417
  • MSC (1991): Primary 46B70; Secondary 46E30
  • DOI: https://doi.org/10.1090/S0002-9939-97-03699-X
  • MathSciNet review: 1363418