Nicola Fusco, Aldo Pratelli
Published 2019-09-25Version 1
In this paper we show the stability of the ball as maximizer of the Riesz potential among sets of given volume. The stability is proved with sharp exponent $1/2$, and is valid for any dimension $N\geq 2$ and any power $1<\alpha<N$.
Some properties of the Riesz potentials in Dunkl analysis
A self-improving property of Riesz potentials in BMO
Boundedness of the Riesz potential in central Morrey--Orlicz spaces
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