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Some New Refined Hardy Type Inequalities with Breaking Points p = 2 or p = 3
Department of Mathematics, University of Haifa.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2014 (English)In: Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation: 22nd International Workshop in Operator Theory and its Applications, Sevilla, July 2011 / [ed] Manuel Cepedello Boiso; Håkan Hedenmalm; Marinus A. Kaashoek; Alfonso Montes Rodríguez; Sergei Treil, Basel: Encyclopedia of Global Archaeology/Springer Verlag, 2014, p. 1-10Conference paper, Published paper (Refereed)
Abstract [en]

For usual Hardy type inequalities the natural “breaking point” (the parameter value where the inequality reverses) is p = 1. Recently, J. Oguntuase and L.-E. Persson proved a refined Hardy type inequality with breaking point at p = 2. In this paper we show that this refinement is not unique and can be replaced by another refined Hardy type inequality with breaking point at p = 2. Moreover, a new refined Hardy type inequality with breaking point at p = 3 is obtained. One key idea is to prove some new Jensen type inequalities related to convex or superquadratic funcions, which are also of independent interest

Place, publisher, year, edition, pages
Basel: Encyclopedia of Global Archaeology/Springer Verlag, 2014. p. 1-10
Series
Operator Theory, ISSN 0255-0156 ; 236
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-27299DOI: 10.1007/978-3-0348-0648-0_1Local ID: 0b558622-3cd8-4d9d-a64f-335801c1a119ISBN: 978-3-0348-0647-3 (print)ISBN: 978-3-0348-0648-0 (electronic)OAI: oai:DiVA.org:ltu-27299DiVA, id: diva2:1000482
Conference
International Workshop in Operator Theory and its Applications : 01/01/1970 - 09/07/2011
Note
Validerad; 2015; Nivå 1; 20131105 (andbra)Available from: 2016-09-30 Created: 2016-09-30 Last updated: 2017-11-25Bibliographically approved

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Persson, Lars-Erik

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