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Abstract:

We establish a sharp affineLp Sobolev trace inequality by using the Lp Busemann–Petty centroid inequality. For p= 2 , our affine version is stronger than the famous sharp L2 Sobolev trace inequality proved independently by Escobar and Beckner. Our approach allows also to characterize all extremizers in this case. For this new inequality, no Euclidean geometric structure is needed. © 2017, Springer-Verlag Berlin Heidelberg.

Registro:

Documento: Artículo
Título:The sharp affine L2 Sobolev trace inequality and variants
Autor:de Nápoli, P.L.; Haddad, J.; Jiménez, C.H.; Montenegro, M.
Filiación:IMAS (UBA-CONICET) and Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, 1428, Argentina
Departamento de Matemática, ICEx, Universidade Federal de Minas Gerais, Belo Horizonte, 30.123-970, Brazil
Departamento de Matemática, Pontifícia Universidade Católica do Rio de Janeiro, Rua Marquês de São Vicente, 225 - Edifício Cardeal Leme, Gávea, Rio de Janeiro, 22.451-900, Brazil
Palabras clave:51M16; Primary 46E35; Secondary 46E39
Año:2018
Volumen:370
Número:1-2
Página de inicio:287
Página de fin:308
DOI: http://dx.doi.org/10.1007/s00208-017-1548-9
Título revista:Mathematische Annalen
Título revista abreviado:Math. Ann.
ISSN:00255831
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00255831_v370_n1-2_p287_deNapoli

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Citas:

---------- APA ----------
de Nápoli, P.L., Haddad, J., Jiménez, C.H. & Montenegro, M. (2018) . The sharp affine L2 Sobolev trace inequality and variants. Mathematische Annalen, 370(1-2), 287-308.
http://dx.doi.org/10.1007/s00208-017-1548-9
---------- CHICAGO ----------
de Nápoli, P.L., Haddad, J., Jiménez, C.H., Montenegro, M. "The sharp affine L2 Sobolev trace inequality and variants" . Mathematische Annalen 370, no. 1-2 (2018) : 287-308.
http://dx.doi.org/10.1007/s00208-017-1548-9
---------- MLA ----------
de Nápoli, P.L., Haddad, J., Jiménez, C.H., Montenegro, M. "The sharp affine L2 Sobolev trace inequality and variants" . Mathematische Annalen, vol. 370, no. 1-2, 2018, pp. 287-308.
http://dx.doi.org/10.1007/s00208-017-1548-9
---------- VANCOUVER ----------
de Nápoli, P.L., Haddad, J., Jiménez, C.H., Montenegro, M. The sharp affine L2 Sobolev trace inequality and variants. Math. Ann. 2018;370(1-2):287-308.
http://dx.doi.org/10.1007/s00208-017-1548-9