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Inequalities related to those of Hausdorff-Young

Published online by Cambridge University Press:  17 April 2009

R.E. Edwards
R.E. Edwards
Affiliation:
Department of Mathematics, Institute of Advanced Studies, Australian National University, Canberra, ACT.
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Abstract

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This note establishes the impossibility of certain inequalities of the form holding for all trigonometric polynomials f on an infinite compact abelian group G. From this is deduced the impossibility of corresponding inclusion relations of the type or where FS denotes the Fourier image of the set S of integrable functions on G.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 6 , Issue 2 , April 1972 , pp. 185 - 210
Copyright
Copyright © Australian Mathematical Society 1972

References

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