On weighted inequalities for fractional integrals of radial functions

We prove a weighted version of the Hardy-Littlewood-Sobolev inequality for radially symmetric functions, and show that the range of admissible power weights appearing in the classical inequality due to Stein and Weiss can be improved in this particular case. © 2013 University of Illinois.

Detalles Bibliográficos
Publicado: 2011
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00192082_v55_n2_p575_DeNapoli
http://hdl.handle.net/20.500.12110/paper_00192082_v55_n2_p575_DeNapoli
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00192082_v55_n2_p575_DeNapoli
record_format dspace
spelling paper:paper_00192082_v55_n2_p575_DeNapoli2023-06-08T14:40:17Z On weighted inequalities for fractional integrals of radial functions We prove a weighted version of the Hardy-Littlewood-Sobolev inequality for radially symmetric functions, and show that the range of admissible power weights appearing in the classical inequality due to Stein and Weiss can be improved in this particular case. © 2013 University of Illinois. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00192082_v55_n2_p575_DeNapoli http://hdl.handle.net/20.500.12110/paper_00192082_v55_n2_p575_DeNapoli
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We prove a weighted version of the Hardy-Littlewood-Sobolev inequality for radially symmetric functions, and show that the range of admissible power weights appearing in the classical inequality due to Stein and Weiss can be improved in this particular case. © 2013 University of Illinois.
title On weighted inequalities for fractional integrals of radial functions
spellingShingle On weighted inequalities for fractional integrals of radial functions
title_short On weighted inequalities for fractional integrals of radial functions
title_full On weighted inequalities for fractional integrals of radial functions
title_fullStr On weighted inequalities for fractional integrals of radial functions
title_full_unstemmed On weighted inequalities for fractional integrals of radial functions
title_sort on weighted inequalities for fractional integrals of radial functions
publishDate 2011
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00192082_v55_n2_p575_DeNapoli
http://hdl.handle.net/20.500.12110/paper_00192082_v55_n2_p575_DeNapoli
_version_ 1768545586470977536

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