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Some remarkable inequalities connected to Lp-spaces and fractional order Hardy inequalities
by
Lars-Erik Persson
Department of Mathematics, LuleåUniversity of Technology, Luleå, Sweden
I will give some examples of integral inequalities we have proved during the last two years. I will concentrate on Hardy type inequalities and some inequalities connected to Lp-spaces. More precisely, I will present some results and ideas from papers [1]-[4], which I think are especially interesting and sometimes surprising. Also some even newer results will be mentioned and some open questions posed.
[1] N. Kaiblinger, L. Maligranda and L.E. Persson, Norms in weighted L2-spaces and Hardy operators, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, to appear 2000.
[2] N. Krugljak, L. Maligranda and L.E. Persson, Failure of the Hardy inequality and interpolation of subspaces, Arkiv Mat. 37 (1999), 323-344.
[3] N. Krugljak, L. Maligranda and L.E. Persson, On an elementary approach to the fractional order Hardy inequality, Proc. Amer. Math. Soc., to appear March 2000.
[4] A. Kufner and L.E. Persson, Some difference inequalities with weights and interpolation, Math. Inequal. Appl. 3 (1999), 437-444.
Date received: May 9, 2000
Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caex-80.