$On weighted inequalities for fractional integrals of radial functions$

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.

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Bibliographische Detailangaben
Hauptverfasser:	De Napoli, Pablo L, Drelichman, Irene, Duran, Ricardo G
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Classical Analysis and ODEs
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Beschreibung
Zusammenfassung:	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.
DOI:	10.48550/arxiv.0910.5508