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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Some weighted inequalities on product domains


Author: Henry Lin
Journal: Trans. Amer. Math. Soc. 318 (1990), 69-85
MSC: Primary 42B20; Secondary 26D15
MathSciNet review: 970269
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Abstract: We extend the results of R. Fefferman [3] on the bidisc to higher product domains via induction. As an application, we extend the weighted inequality for Calderon-Zygmund operators on the bidisc to higher product domains, and we also extend the result of the Littlewood-Paley operator corresponding to the arbitrary disjoint rectangles to the weighted case.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1990-0970269-1
PII: S 0002-9947(1990)0970269-1
Article copyright: © Copyright 1990 American Mathematical Society