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

 

On two theorems of Paley


Authors: N. M. Rivière and Y. Sagher
Journal: Proc. Amer. Math. Soc. 42 (1974), 238-242
MSC: Primary 42A16
MathSciNet review: 0344779
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Abstract: A strengthening of Paley's theorem for the Fourier coefficients of an $ {L^p}$ function is presented. The result is then applied to prove strong versions of recent results of P. L. Duren, and of J. H. Hedlund on $ ({L^p},{L^q})$ multipliers.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0344779-0
PII: S 0002-9939(1974)0344779-0
Keywords: Fourier coefficients, multipliers
Article copyright: © Copyright 1974 American Mathematical Society