✦ LIBER ✦

On Weighted Fractional Integral Inequalities

✍ Scribed by Stefan Eilertsen

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 192 KB
Volume: 185
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.2001.3777

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✦ Synopsis

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 (&2) * in R n , 0<*<nÂ2, 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.

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