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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 covering lemma for product spaces
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by Jean-Lin Journé PDF
Proc. Amer. Math. Soc. 96 (1986), 593-598 Request permission

Abstract:

We give a substitute for the Whitney decomposition of an arbitrary open set in ${{\mathbf {R}}^2}$ where squares are replaced by rectangles. Then we deduce the ${L^\infty }$-BMO boundedness of certain singular integral operators defined on product spaces.
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 96 (1986), 593-598
  • MSC: Primary 42B20
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0826486-9
  • MathSciNet review: 826486