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On weighted fractional integral inequalities
Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden.
2001 (English)In: Journal of Functional Analysis, ISSN 0022-1236, Vol. 185, no 1, 342-366 p.Article in journal (Refereed) Published
Abstract [en]

The paper is devoted to integral inequalities for fractional derivatives within the weighted L-2 setting. We obtain a necessary and sufficient condition for the operator (-Delta)(lambda) in R-n, 0 < < n/2, to possess the weighted positivity property where the weight is the fundamental solution of the operator. The best constants in a two parameter family of Hardy-Rellich type inequalities are found. Some other related inequalities are studied. (C) 2001 Academic Press.

Place, publisher, year, edition, pages
2001. Vol. 185, no 1, 342-366 p.
Keyword [en]
integral inequalities, fractional derivatives, Hardy-Rellich inequalities, special functions
National Category
Natural Sciences
URN: urn:nbn:se:liu:diva-49148OAI: diva2:270044
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2011-01-13

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