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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Some weighted norm inequalities for the Fourier transform of functions with vanishing moments
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by Cora Sadosky and Richard L. Wheeden PDF
Trans. Amer. Math. Soc. 300 (1987), 521-533 Request permission

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 ${\left | x \right |^\gamma }$, the results concern values of $\gamma$ which are outside the range which is normally considered.
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 300 (1987), 521-533
  • MSC: Primary 42B10
  • DOI: https://doi.org/10.1090/S0002-9947-1987-0876464-4
  • MathSciNet review: 876464