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
Descripción
Sumario: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.

Ejemplares similares