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On pointwise estimates for the Littlewood-Paley operators
Author(s):
Andrei
K.
Lerner
Journal:
Proc. Amer. Math. Soc.
131
(2003),
1459-1469.
MSC (2000):
Primary 42B25
Posted:
September 19, 2002
MathSciNet review:
1949876
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Abstract:
In a recent paper we proved pointwise estimates relating some classical maximal and singular integral operators. Here we show that inequalities essentially of the same type hold for the Littlewood-Paley operators.
References:
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Additional Information:
Andrei
K.
Lerner
Affiliation:
Department of Mathematics and Computer Science, Bar-Ilan University, 52900 Ramat Gan, Israel
Email:
aklerner@netvision.net.il
DOI:
10.1090/S0002-9939-02-06782-5
PII:
S 0002-9939(02)06782-5
Keywords:
Littlewood-Paley operators,
pointwise estimates,
rearrangements
Received by editor(s):
December 7, 2001
Posted:
September 19, 2002
Communicated by:
Andreas Seeger
Copyright of article:
Copyright
2002,
American Mathematical Society
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