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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 norm inequalities for the Fourier transform of functions with vanishing moments


Authors: Cora Sadosky and Richard L. Wheeden
Journal: Trans. Amer. Math. Soc. 300 (1987), 521-533
MSC: Primary 42B10
MathSciNet review: 876464
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Abstract: Weighted $ L^p$ norm inequalities are derived between a function and its Fourier transform in case the function has vanishing moments up to some order. For weights of the form $ {\left\vert x \right\vert^\gamma }$, the results concern values of $ \gamma $ which are outside the range which is normally considered.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1987-0876464-4
PII: S 0002-9947(1987)0876464-4
Article copyright: © Copyright 1987 American Mathematical Society