Fields Colloquium
by Remi Yvant Temgoua (Fields Institute)
In a joint work with Abdelrazek Dieb, we revisit the literature concerning the fractional Hardy inequality on general domains. In particular, we derive necessary and sufficient conditions for which the best constant is achieved. Moreover, when the fractional order is sufficiently close to $\frac{1}{2}$, we obtain that the best constant is never achieved, independent of the domain, hence, behaves different from that in the local case.
