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Some new refined Hardy type inequalities with general kernels and measures
Department of Mathematics, University of Haifa.
Faculty of Textile Technology, University of Zagreb.
Faculty of Textile Technology, University of Zagreb.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2010 (English)In: Aequationes Mathematicae, ISSN 0001-9054, E-ISSN 1420-8903, Vol. 79, no 1-2, p. 157-172Article in journal (Refereed) Published
Abstract [en]

We state and prove some new refined Hardy type inequalities using the notation of superquadratic and subquadratic functions with an integral operator Ak defined by, where k: Ω1 × Ω2 is a general nonnegative kernel, (Ω1, μ1) and (Ω2, μ2) are measure spaces and,. The relations to other results of this type are discussed and, in particular, some new integral identities of independent interest are obtained.

Place, publisher, year, edition, pages
2010. Vol. 79, no 1-2, p. 157-172
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-11192DOI: 10.1007/s00010-010-0011-8ISI: 000280299700010Scopus ID: 2-s2.0-77952073726Local ID: a1944f20-6a55-11df-ab16-000ea68e967bOAI: oai:DiVA.org:ltu-11192DiVA, id: diva2:984141
Note
Validerad; 2010; 20100528 (andbra)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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