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
Autores principales: De Nápoli, P.L., Drelichman, I., Durán, R.G.
Formato: JOUR
Acceso en línea: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
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spelling todo:paper_00192082_v55_n2_p575_DeNapoli2023-10-03T14:16:33Z On weighted inequalities for fractional integrals of radial functions De Nápoli, P.L. Drelichman, I. Durán, R.G. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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.
format JOUR
author De Nápoli, P.L.
Drelichman, I.
Durán, R.G.
spellingShingle De Nápoli, P.L.
Drelichman, I.
Durán, R.G.
On weighted inequalities for fractional integrals of radial functions
author_facet De Nápoli, P.L.
Drelichman, I.
Durán, R.G.
author_sort De Nápoli, P.L.
title 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
url http://hdl.handle.net/20.500.12110/paper_00192082_v55_n2_p575_DeNapoli
work_keys_str_mv AT denapolipl onweightedinequalitiesforfractionalintegralsofradialfunctions
AT drelichmani onweightedinequalitiesforfractionalintegralsofradialfunctions
AT duranrg onweightedinequalitiesforfractionalintegralsofradialfunctions
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