Bessel potentials and optimal Hardy and Hardy-Rellich inequalities
نویسندگان
چکیده
We give necessary and sufficient conditions on a pair of positive radial functions V and W on a ball B of radius R in R, n ≥ 1, so that the following inequalities hold for all u ∈ C 0 (B):
منابع مشابه
ar X iv : 0 70 9 . 19 54 v 1 [ m at h . A P ] 1 2 Se p 20 07 Bessel potentials and optimal Hardy and Hardy - Rellich inequalities
We give necessary and sufficient conditions on a pair of positive radial functions V and W on a ball B of radius R in R, n ≥ 1, so that the following inequalities hold for all u ∈ C 0 (B):
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