On weighted inequalities for fractional integrals of radial functions

Details On weighted inequalities for fractional integrals of radial functions On weighted inequalities for fractional integrals of radial functions

2009-10-28

arxiv.org/abs/0910.5508v2

Mathematics

Classical Analysis and ODEs

10 pages; added references

Scientific paper

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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