Best constants for Sobolev inequalities for higher order fractional derivatives

Autor:	Athanase Cotsiolis, Nikolaos K. Tavoularis
Rok vydání:	2004
Předmět:	Pure mathematics Applied Mathematics Mathematical analysis Differential operator Sobolev inequality Fractional calculus Sobolev space Sobolev spaces Sobolev inequalities Order (group theory) Invariant (mathematics) Best constants Analysis Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 295(1):225-236
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2004.03.034
Popis:	We obtain sharp constants for Sobolev inequalities for higher order fractional derivatives. As an application, we give a new proof of a theorem of W. Beckner concerning conformally invariant higher-order differential operators on the sphere.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68991bc03427026a2b4dabe4a976b878 Zobrazit plný text záznamu Full Text from ScienceDirect