arXiv:0910.5508 Abstract | arXiv Analytics

arXiv:0910.5508 [math.CA]Abstract References Reviews Resources

On weighted inequalities for fractional integrals of radial functions

Pablo L. De Napoli, Irene Drelichman, Ricardo G. Duran

Published 2009-10-28, updated 2009-12-07Version 2

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.

Comments: 10 pages; added references

Categories: math.CA

Subjects: 26D10, 47G10, 31B10

Keywords: fractional integrals, radial functions, weighted inequalities, hardy-littlewood-sobolev inequality, radially symmetric functions

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