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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| creator | De Napoli, Pablo L Drelichman, Irene Duran, Ricardo G |
| 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. |
| doi_str_mv | 10.48550/arxiv.0910.5508 |
| format | Article |
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radially symmetric functions, and show that the range of admissible power
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improved in this particular case.</abstract><doi>10.48550/arxiv.0910.5508</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Classical Analysis and ODEs |
| title | On weighted inequalities for fractional integrals of radial functions |
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