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

Note on a Littlewood-Paley inequality

Author(s): J. Michael Wilson
Journal: Proc. Amer. Math. Soc. 128 (2000), 3609-3612.
MSC (2000): Primary 42B25
Posted: June 7, 2000
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Abstract | References | Similar articles | Additional information

Abstract: We show that a recent result of Littlewood-Paley type, due to the author, is essentially best-possible.


References:

[JS]
W. B. Jurkat, G. Sampson, The complete solution to the $(L^{p},L^{q})$ mapping problem for a class of oscillating kernels,'' Indiana University Mathematics Journal 30 (1981), 403-413. MR 84i:42033

[St]
E. M. Stein, Harmonic Analysis, Princeton University Press, Princeton (1993).

[W]
J. M. Wilson, Global orthogonality implies local almost-orthogonality,'' to appear in Revista Matematica Iberoamericana.


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Additional Information:

J. Michael Wilson
Affiliation: Department of Mathematics, University of Vermont, Burlington, Vermont 05405

DOI: 10.1090/S0002-9939-00-05504-0
PII: S 0002-9939(00)05504-0
Keywords: Littlewood-Paley, weighted norm inequalities, Bochner-Riesz means
Received by editor(s): August 24, 1998
Received by editor(s) in revised form: February 20, 1999
Posted: June 7, 2000
Communicated by: Albert Baernstein II
Copyright of article: Copyright 2000, American Mathematical Society


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