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A covering lemma for rectangles in
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:
We prove a covering lemma for rectangles in which has connections to a problem of Zygmund and its solution in three dimensions by Cordoba.
References:
-
- 1.
- S.Y. A. Chang and R. Fefferman Some recent developments in Fourier analysis and
theory on product domains, Bull. A.M.S., vol 12 [1985], 1-43. MR 0766959 (86g:42038) - 2.
- A. Córdoba, Maximal functions, covering lemmas and Fourier multipliers, Proc. Sympos. Pure Math. vol. 35, American Math. Society, Providence, RI [1979], 29-49. MR 0545237 (81f:42017)
- 3.
- 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)
- 4.
- 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)
- 5.
- F. Ricci and E. Stein, Mulltiparameter singular integrals and maximal functions, Ann. Inst. Fourier (Grenoble), vol 42, [1992], 637-670. MR 1182643 (94d:42020)
- 6.
- F. Soria, Some examples and counterexamples to a conjecture in the theory of differentiation, Annals of Math.(2), vol 123, [1986], 1-9. MR 0825837 (88a:42026)
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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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