Improved caffarelli-kohn-nirenberg and trace inequalities for radial functions

We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in ℝn × ℝ+ admit a better range of power weights if we restrict ourselves to the space of radially symmetric functions.

Guardado en:
Detalles Bibliográficos
Autores principales: De Napoli, Pablo Luis, Drelichman, Irene, Duran, Ricardo Guillermo
Publicado: 2012
Materias:
Caffarelli-Kohn-Nirenberg inequalities
Power weights
Radial functions
Trace inequalities
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15340392_v11_n5_p1629_DeNapoli
http://hdl.handle.net/20.500.12110/paper_15340392_v11_n5_p1629_DeNapoli
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_15340392_v11_n5_p1629_DeNapoli2023-06-08T16:19:59Z Improved caffarelli-kohn-nirenberg and trace inequalities for radial functions De Napoli, Pablo Luis Drelichman, Irene Duran, Ricardo Guillermo Caffarelli-Kohn-Nirenberg inequalities Power weights Radial functions Trace inequalities We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in ℝn × ℝ+ admit a better range of power weights if we restrict ourselves to the space of radially symmetric functions. Fil:De Nápoli, P.L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Drelichman, I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Durán, R.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15340392_v11_n5_p1629_DeNapoli http://hdl.handle.net/20.500.12110/paper_15340392_v11_n5_p1629_DeNapoli
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Caffarelli-Kohn-Nirenberg inequalities
Power weights
Radial functions
Trace inequalities
spellingShingle Caffarelli-Kohn-Nirenberg inequalities
Power weights
Radial functions
Trace inequalities
De Napoli, Pablo Luis
Drelichman, Irene
Duran, Ricardo Guillermo
Improved caffarelli-kohn-nirenberg and trace inequalities for radial functions
topic_facet Caffarelli-Kohn-Nirenberg inequalities
Power weights
Radial functions
Trace inequalities
description We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in ℝn × ℝ+ admit a better range of power weights if we restrict ourselves to the space of radially symmetric functions.
author De Napoli, Pablo Luis
Drelichman, Irene
Duran, Ricardo Guillermo
author_facet De Napoli, Pablo Luis
Drelichman, Irene
Duran, Ricardo Guillermo
author_sort De Napoli, Pablo Luis
title Improved caffarelli-kohn-nirenberg and trace inequalities for radial functions
title_short Improved caffarelli-kohn-nirenberg and trace inequalities for radial functions
title_full Improved caffarelli-kohn-nirenberg and trace inequalities for radial functions
title_fullStr Improved caffarelli-kohn-nirenberg and trace inequalities for radial functions
title_full_unstemmed Improved caffarelli-kohn-nirenberg and trace inequalities for radial functions
title_sort improved caffarelli-kohn-nirenberg and trace inequalities for radial functions
publishDate 2012
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15340392_v11_n5_p1629_DeNapoli
http://hdl.handle.net/20.500.12110/paper_15340392_v11_n5_p1629_DeNapoli
work_keys_str_mv AT denapolipabloluis improvedcaffarellikohnnirenbergandtraceinequalitiesforradialfunctions
AT drelichmanirene improvedcaffarellikohnnirenbergandtraceinequalitiesforradialfunctions
AT duranricardoguillermo improvedcaffarellikohnnirenbergandtraceinequalitiesforradialfunctions
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