Hardy inequalities for fractional integrals on general domains

Details Hardy inequalities for fractional integrals on general domains Hardy inequalities for fractional integrals on general domains

2009-07-17

arxiv.org/abs/0907.3054v2

Mathematics

Analysis of PDEs

LaTeX, 9 pages, a number of errors have been fixed and the bibliography has been updated

Scientific paper

We prove a sharp Hardy inequality for fractional integrals for functions that
are supported on a general domain. The constant is the same as the one for the
half-space and hence our result settles a recent conjecture of Bogdan and Dyda.

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