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Some new inequalities for the fourier transform for functions in generalized Lorentz spaces
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science. Faculty of Mechanics and Mathematics L. N. Gumilyov, Eurasian National University.
2017 (English)In: Eurasian Mathematical Journal, ISSN 2077-9879, Vol. 8, no 1, 58-66 p.Article in journal (Refereed) Published
Abstract [en]

The classical Hausdorff-Young and Hardy-Littlewood-Stein inequalities, relating functions on ℝ and their Fourier transforms, are extended and complemented in various ways. In particular, a variant of the Hardy-Littlewood-Stein inequality covering the case p ≥2 is proved and two-sided estimates are derived.

Place, publisher, year, edition, pages
Eurasian Mathematical Journal , 2017. Vol. 8, no 1, 58-66 p.
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-64747Scopus ID: 2-s2.0-85020925434OAI: oai:DiVA.org:ltu-64747DiVA: diva2:1119086
Available from: 2017-07-03 Created: 2017-07-03 Last updated: 2017-07-03

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