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math.FA2020
Optimal critical exponent inequalities of Hardy type on the sphere via Xiao's method
Ahmed A. Abdelhakim
First, we correct the proof presented in [Abimbola Abolarinwa, Kamilu Rauf, Songting Yin, Sharp Hardy type and uncertainty principle inequalities on the sphere, Journal of…
math.FA2020
Sharp subcritical and critical Hardy inequalities on the sphere
Ahmed A. Abdelhakim
We prove sharp inequalities of Hardy type for functions in the Sobolev space on the unit sphere in . We achieve this in both the subcri…