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

 

Solving weighted norm inequalities using the Rubio de Francia algorithm


Author: Steve Bloom
Journal: Proc. Amer. Math. Soc. 101 (1987), 306-312
MSC: Primary 42B25; Secondary 47B38
MathSciNet review: 902547
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Abstract: Given an operator $ T$ bounded on a weighted $ {L^p}$ space, the factorization technique of Rubio de Francia forces strong conditions on the weight. This algorithm is extended to two weight problems, and is shown to yield not just necessary but sufficient conditions in a wide range of settings.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1987-0902547-1
PII: S 0002-9939(1987)0902547-1
Article copyright: © Copyright 1987 American Mathematical Society