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Inequalities related to those of Hausdorff-Young
Published online by Cambridge University Press: 17 April 2009
Abstract
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.
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- Copyright © Australian Mathematical Society 1972
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