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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 elementary approach to several results on the Hardy-Littlewood maximal operator
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by Andrei K. Lerner PDF
Proc. Amer. Math. Soc. 136 (2008), 2829-2833 Request permission

Abstract:

We give new elementary proofs of theorems due to B. Muckenhoupt, B. Jawerth, and S. Buckley. By means of our approach we answer a question raised by J. Orobitg and C. Pérez.
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Additional Information
  • Andrei K. Lerner
  • Affiliation: Department of Mathematics, Bar-Ilan University, 52900 Ramat Gan, Israel
  • Address at time of publication: Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, 41080 Sevilla, Spain
  • MR Author ID: 615118
  • Email: aklerner@netvision.net.il
  • Received by editor(s): January 29, 2007
  • Published electronically: April 2, 2008
  • Additional Notes: This work was supported by research grant SB2004-0169 from the Ministerio de Educación y Ciencia (Spain).
  • Communicated by: Michael T. Lacey
  • © Copyright 2008 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 2829-2833
  • MSC (2000): Primary 42B25
  • DOI: https://doi.org/10.1090/S0002-9939-08-09318-0
  • MathSciNet review: 2399047