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Hardy type inequalities and compactness of a class of integral operators with logarithmic singularities
Department of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, Astana .
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science. UiT, Tromso.
2018 (English)In: Mathematical Inequalities & Applications, ISSN 1331-4343, E-ISSN 1848-9966, Vol. 21, no 1, 201-215 p.Article in journal (Refereed) Published
Abstract [en]

We establish criteria for both boundedness and compactness for some classes of integraloperators with logarithmic singularities in weighted Lebesgue spaces for cases 1 < p 6 q <¥ and 1 < q < p < ¥. As corollaries some corresponding new Hardy inequalities are pointedout.1

Place, publisher, year, edition, pages
Ele-math , 2018. Vol. 21, no 1, 201-215 p.
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-65562ISI: 000413811900016OAI: oai:DiVA.org:ltu-65562DiVA: diva2:1140012
Note

Validerad;2017;Nivå 2;2017-11-09 (andbra)

Available from: 2017-09-11 Created: 2017-09-11 Last updated: 2017-11-24Bibliographically approved

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