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Weighted Hardy-type inequalities on the cones of monotone and quasi-concave functions
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2012 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This PhD thesis deals with weighted Hardy-type inequalities restricted to cones of monotone functions and quasi-monotone functions.The thesis consists of four papers (papers A, B, C and D) and an introduction, which gives an overview of this specific field of functional analysis and also serves to put these papers into a more general frame. The papers A and B are devoted to characterizing some weighted Hardy-type inequalities on the cones of monotone functions, while in the papers C and D we solve the similar problems for the cones of quasi-concave and $\psi-$quasi-concave functions.In paper A some two-sided inequalities for Hardy operators on the cones of monotone functions are proved for the full range of parameter $1

Place, publisher, year, edition, pages
Luleå: Luleå tekniska universitet, 2012. , 138 p.
Doctoral thesis / Luleå University of Technology 1 jan 1997 → …, ISSN 1402-1544
Research subject
URN: urn:nbn:se:ltu:diva-18169Local ID: 73f4640f-fd69-425a-9d98-10aea6ee35f0ISBN: 978-91-7439-444-3 (print)OAI: diva2:991176
Godkänd; 2012; 20120502 (olgpop); DISPUTATION Ämnesområde: Matematik/Mathematics Opponent: Professor Mikhail Goldman, Peoples Friendship University Moscow, Russia, Ordförande: Professor Lars-Erik Persson, Institutionen för teknikvetenskap och matematik, Luleå tekniska universitet Tid: Fredag den 15 juni 2012, kl 10.00 Plats: D2214, Luleå tekniska universitetAvailable from: 2016-09-29 Created: 2016-09-29Bibliographically approved

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Popova, Olga
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