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On inequalities of Hardy-Sobolev type

Balinsky, Alexander, Evans, William and Hundertmark, Dirk 2008. On inequalities of Hardy-Sobolev type. Banach Journal of Mathematical Analysis (BJMA) 2 (2) , pp. 94-106.

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Abstract

Hardy-Sobolev-type inequalities associated with the operator L:={x}⋅∇ are established, using an improvement to the Sobolev embedding theorem obtained by M.Ledoux. The analysis involves the determination of the operator semigroup {e −tL ∗ L } 0≠t≥0.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: Hardy's inequality; Sobolev's inequality; heat semigroup; Ledoux's inequality
Additional Information: Pdf uploaded in accordance with publisher's policy at http://www.emis.de/journals/BJMA/ (accessed 24/04/2014).
Publisher: Banach Mathematical Research Group
ISSN: 1735-8787
Date of First Compliant Deposit: 30 March 2016
Last Modified: 04 Jun 2017 04:20
URI: http://orca.cf.ac.uk/id/eprint/37139

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