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arxiv: 0910.5508 · v2 · submitted 2009-10-28 · 🧮 math.CA

On weighted inequalities for fractional integrals of radial functions

classification 🧮 math.CA
keywords functionsinequalityweightedadmissibleappearingcaseclassicalfractional
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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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