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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A note on a lemma of Zó


Author: R. Fefferman
Journal: Proc. Amer. Math. Soc. 96 (1986), 241-246
MSC: Primary 42B20; Secondary 42B25
MathSciNet review: 818452
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Abstract: In this article we prove that a general class of singular integrals on product spaces maps $ L\log L$ boundedly to weak $ {L^1}$. We use this to prove a theorem about maximal functions which generalize the strong maximal function.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0818452-4
PII: S 0002-9939(1986)0818452-4
Keywords: Maximal operators, $ L\log L$, singular integrals
Article copyright: © Copyright 1986 American Mathematical Society