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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 pointwise estimates for the Littlewood-Paley operators
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by Andrei K. Lerner PDF
Proc. Amer. Math. Soc. 131 (2003), 1459-1469 Request permission

Abstract:

In a recent paper we proved pointwise estimates relating some classical maximal and singular integral operators. Here we show that inequalities essentially of the same type hold for the Littlewood-Paley operators.
References
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Additional Information
  • Andrei K. Lerner
  • Affiliation: Department of Mathematics and Computer Science, Bar-Ilan University, 52900 Ramat Gan, Israel
  • MR Author ID: 615118
  • Email: aklerner@netvision.net.il
  • Received by editor(s): December 7, 2001
  • Published electronically: September 19, 2002
  • Communicated by: Andreas Seeger
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 1459-1469
  • MSC (2000): Primary 42B25
  • DOI: https://doi.org/10.1090/S0002-9939-02-06782-5
  • MathSciNet review: 1949876