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A generalization of Hardy's inequality for Fourier series

Posted on:1998-03-18Degree:M.ScType:Thesis
University:McGill University (Canada)Candidate:Mal-Alla, Ebrahim AhmedFull Text:PDF
GTID:2460390014475547Subject:Mathematics
Abstract/Summary:
The following generalization of Hardy's inequality is due to I. Klemes (6) (1993);;"There is a constant ;;The proof was based on an elegant construction, (L. Pigno and B. Smith (11)), of a certain bounded function whose Fourier coefficients have desired properties.;The chief object of this thesis is to record another proof of the above result by using the construction that was originally used to prove the Littlewood conjecture (8). In addition, a proof is given that the same generalization is equivalent to another one involving the norm of the Besov space...
Keywords/Search Tags:Generalization, Proof
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