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Some new Two-Sided Inequalities concerning the Fourier Transform

dc.contributor.authorKopezhanova, Aigerim
dc.contributor.authorNursultanov, Erlan
dc.contributor.authorPersson, Lars Erik
dc.date.accessioned2018-05-16T10:09:42Z
dc.date.available2018-05-16T10:09:42Z
dc.date.issued2017
dc.description.abstractThe 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).en_US
dc.description.sponsorshipAcknowledgement. The authors thank the careful referee for some generous suggestions, which have improvedthe final version of this paper. The authors thank Lule˚a University of Technology for financial support for the research visit of the first authorin December 2015. The research of the first author was also supported by the MESRK grants 5540/GF4 and the research of the second author was supportedby the MESRK grants4080/GF4. The publication was supported by the Ministry of Education and Science of the Russian Federation (the Agreement number02.a03.21.0008).en_US
dc.descriptionOAD program <a href=http://mia.ele-math.com/open-access-on-demand>http://mia.ele-math.com/open-access-on-demand</a> Article published under the CCANCL terms. Link to publisher's version: <a href=http://mia.ele-math.com/20-54/Some-new-two-sided-inequalities-concerning-the-Fourier-transform>http://mia.ele-math.com/20-54/Some-new-two-sided-inequalities-concerning-the-Fourier-transform<a/>en_US
dc.identifier.cristinIDFRIDAID 1538823
dc.identifier.doi10.7153/mia-20-54
dc.identifier.issn1331-4343
dc.identifier.issn1848-9966
dc.identifier.urihttps://hdl.handle.net/10037/12720
dc.language.isoengen_US
dc.publisherElement d.o.o. publishing house (El-Math)en_US
dc.relation.journalMathematical Inequalities & Applications
dc.rights.accessRightsopenAccessen_US
dc.titleSome new Two-Sided Inequalities concerning the Fourier Transformen_US
dc.typeJournal articleen_US
dc.typePeer revieweden_US
dc.typeTidsskriftartikkelno


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