On inequalities of Hardy-Sobolev type

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, 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:	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:	08 Jan 2024 07:32
URI:	https://orca.cardiff.ac.uk/id/eprint/37139

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