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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 multidimensional form of F. Riesz’s “rising sun" lemma
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by A. A. Korenovskyy, A. K. Lerner and A. M. Stokolos PDF
Proc. Amer. Math. Soc. 133 (2005), 1437-1440 Request permission

Abstract:

A multidimensional version of the Riesz rising sun lemma is proved by means of a generalized dyadic process.
References
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Additional Information
  • A. A. Korenovskyy
  • Affiliation: Department of Mathematical Analysis, IMEM, National University of Odessa, Dvoryanskaya, 2, 65026 Odessa, Ukraine
  • Email: anakor@paco.net
  • A. K. Lerner
  • Affiliation: Department of Mathematics, Bar-Ilan University, 52900 Ramat Gan, Israel
  • MR Author ID: 615118
  • Email: aklerner@netvision.net.il
  • A. M. Stokolos
  • Affiliation: Department of Mathematical Sciences, DePaul University, Chicago, Illinois, 60614
  • Email: astokolo@depaul.edu
  • Received by editor(s): August 13, 2003
  • Received by editor(s) in revised form: January 15, 2004
  • Published electronically: November 22, 2004
  • Additional Notes: The work of the first author was partially supported by the France-Ukraine program of scientific collaboration “DNIPRO"
  • Communicated by: Andreas Seeger
  • © Copyright 2004 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 1437-1440
  • MSC (2000): Primary 42B25
  • DOI: https://doi.org/10.1090/S0002-9939-04-07653-1
  • MathSciNet review: 2111942