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

Weighted norm inequalities for the Hardy-Littlewood maximal function


Author: Wo Sang Young
Journal: Proc. Amer. Math. Soc. 85 (1982), 24-26
MSC: Primary 42B25; Secondary 46E30
MathSciNet review: 647890
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Abstract: A characterization is obtained for weight functions $ \upsilon $ for which the Hardy-Littlewood maximal operator is bounded from $ {L^p}({{\mathbf{R}}^n},wdx)$ to $ {L^p}({{\mathbf{R}}^n},\upsilon dx)$ for some nontrivial $ w$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1982-0647890-4
PII: S 0002-9939(1982)0647890-4
Article copyright: © Copyright 1982 American Mathematical Society