The Euclidean Onofri Inequality in Higher Dimensions

Author	dc.contributor.author	Pino Manresa, Manuel del
Author	dc.contributor.author	Dolbeault, Jean	es_CL
Admission date	dc.date.accessioned	2014-01-28T20:07:36Z
Available date	dc.date.available	2014-01-28T20:07:36Z
Publication date	dc.date.issued	2013
Cita de ítem	dc.identifier.citation	International Mathematics Research Notices, Vol. 2013, No. 15, pp. 3600–3611	en_US
Identifier	dc.identifier.other	doi:10.1093/imrn/rns119
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/126318
General note	dc.description	Artículo de publicación ISI	en_US
Abstract	dc.description.abstract	The classical Onofri inequality in the two-dimensional sphere assumes a natural form in the plane when transformed via stereographic projection. We establish an optimal version of a generalization of this inequality in the d-dimensional Euclidean space for any d≥ 2, by considering the endpoint of a family of optimal Gagliardo–Nirenberg interpolation inequalities. Unlike the two-dimensional case, this extension involves a rather unexpected Sobolev–Orlicz norm, as well as a probability measure no longer related to stereographic projection.	en_US
Lenguage	dc.language.iso	en	en_US
Publisher	dc.publisher	Oxford University Press	en_US
Type of license	dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Chile	*
Link to License	dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/cl/	*
Título	dc.title	The Euclidean Onofri Inequality in Higher Dimensions	en_US
Document type	dc.type	Artículo de revista

Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Chile