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Some sharp inequalities for integral operators with homogeneous kernel
Narvik University College and Norut Narvik, UiT, The Arctic University of Norway, Narvik.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Universidade do Algarve, FCT, Campus de Gambelas, Universidade do Algarve, Faro.
Number of Authors: 3
2016 (English)In: Journal of inequalities and applications (Print), ISSN 1025-5834, E-ISSN 1029-242X, Vol. 2016, article id 114Article in journal (Refereed) Published
Abstract [en]

One goal of this paper is to show that a big number of inequalities for functions in L p (R + ) Lp(R+), p≥1 p≥1, proved from time to time in journal publications are particular cases of some known general results for integral operators with homogeneous kernels including, in particular, the statements on sharp constants. Some new results are also included, e.g. the similar general equivalence result is proved and applied for 0<p

Place, publisher, year, edition, pages
2016. Vol. 2016, article id 114
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-6110DOI: 10.1186/s13660-016-1037-9ISI: 000391712600001Local ID: 450140f0-bf4e-432e-8fb0-c7de7124fa63OAI: oai:DiVA.org:ltu-6110DiVA: diva2:978987
Note

Validerad; 2016; Nivå 2; 20160413 (andbra)

Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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