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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Estimates for operator norms on weighted spaces and reverse Jensen inequalities


Author: Stephen M. Buckley
Journal: Trans. Amer. Math. Soc. 340 (1993), 253-272
MSC: Primary 42B20; Secondary 42B25, 47A30, 47B38, 47G10
MathSciNet review: 1124164
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Abstract: We examine the dependence on the $ {A_p}$ norm of $ w$ of the operator norms of singular integrals, maximal functions, and other operators in $ {L^p}(w)$. We also examine connections between some fairly general reverse Jensen inequalities and the $ {A_p}$ and $ R{H_p}$ weight conditions.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1993-1124164-0
Keywords: Singular integral, maximal function, weights
Article copyright: © Copyright 1993 American Mathematical Society