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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A Covering Theorem with applications
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by C. J. Neugebauer
Proc. Amer. Math. Soc. 130 (2002), 2883-2891
DOI: https://doi.org/10.1090/S0002-9939-02-06719-9
Published electronically: May 8, 2002

Abstract:

We prove a Covering Theorem that allows us to prove modified norm inequalities for general maximal operators. We will also give applications to convergence of a sequence of linear operators and the differentiation of the integral.
References
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Bibliographic Information
  • C. J. Neugebauer
  • Affiliation: Department of Mathematics, Purdue University, Lafayette, Indiana 47907-1395
  • Email: neug@math.purdue.edu
  • Received by editor(s): July 25, 2000
  • Published electronically: May 8, 2002
  • Communicated by: Christopher D. Sogge
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 2883-2891
  • MSC (2000): Primary 42B25
  • DOI: https://doi.org/10.1090/S0002-9939-02-06719-9
  • MathSciNet review: 1908911