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.
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2011
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| 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: |
| 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. |
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