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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

A covering lemma for rectangles in ${\mathbb{R}}^n$

Author(s): Robert Fefferman; Jill Pipher
Journal: Proc. Amer. Math. Soc. 133 (2005), 3235-3241.
MSC (2000): Primary 42B20
Posted: June 20, 2005
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Abstract | References | Similar articles | Additional information

Abstract: We prove a covering lemma for rectangles in ${\mathbb{R}}^n$which has connections to a problem of Zygmund and its solution in three dimensions by Cordoba.


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A. Córdoba and R. Fefferman, A geometric proof of the strong maximal theorem, Annals of Math., vol 102, [1975], 95-100. MR 0379785 (52:690)

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R. Fefferman and J. Pipher, Multiparameter Operators and Sharp Weighted Inequalities, Amer. J. Math., vol 11 (No 2), [1997], 337 - 369. MR 1439553 (98b:42027)

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Additional Information:

Robert Fefferman
Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois 60637
Email: raf@math.uchicago.edu

Jill Pipher
Affiliation: Department of Mathematics, Brown University, Providence, Rhode Island 02912
Email: jpipher@math.brown.edu

DOI: 10.1090/S0002-9939-05-07902-5
PII: S 0002-9939(05)07902-5
Received by editor(s): April 23, 2004
Posted: June 20, 2005
Communicated by: Andreas Seeger
Copyright of article: Copyright 2005, American Mathematical Society


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