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.
Publisher
Cambridge University Press (CUP)
Reference6 articles.
1. Singular measures with absolutely continuous convolution squares
2. A naively constructive approach to boundedness principles, with applications to harmonic analysis;Edwards;Enseignement Math.,1970
Cited by
1 articles.
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