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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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A proof of the Fefferman-Stein-Strömberg inequality for the sharp maximal functions
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by Nobuhiko Fujii PDF
Proc. Amer. Math. Soc. 106 (1989), 371-377 Request permission

Abstract:

We give another proof of a theorem of Strömberg for the Fefferman-Stein sharp maximal functions. Our method is based on a decomposition lemma which is due to the arguments of Carleson, Garnett and Jones for the functions of BMO, and it is valid for a two-weight setting under a condition which is equivalent to the ${A_\infty }$ condition in the case of equal weights.
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 106 (1989), 371-377
  • MSC: Primary 42B25
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0946637-8
  • MathSciNet review: 946637