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Some new Two-Sided Inequalities concerning the Fourier Transform

Permanent link
https://hdl.handle.net/10037/12720
DOI
https://doi.org/10.7153/mia-20-54
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Date
2017
Type
Journal article
Peer reviewed
Tidsskriftartikkel

Author
Kopezhanova, Aigerim; Nursultanov, Erlan; Persson, Lars Erik
Abstract
The classical Hausdorff-Young and Hardy-Littlewood-Stein inequalities do not hold for p > 2. In this paper we prove that if we restrict to net spaces we can even derive a two-sided estimate for all p > 1. In particular, this result generalizes a recent result by Liflyand E. and Tikhonov S. [7] (MR 2464253).
Description
OAD program http://mia.ele-math.com/open-access-on-demand Article published under the CCANCL terms. Link to publisher's version: http://mia.ele-math.com/20-54/Some-new-two-sided-inequalities-concerning-the-Fourier-transform
Publisher
Element d.o.o. publishing house (El-Math)
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  • Artikler, rapporter og annet (datateknologi og beregningsorienterte ingeniørfag) [171]

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