Resumen de Fixed points of the Hardy-Littlewood maximal operator

Soulaymane Korry

• Let1≤p≤+∞be a real number andMbe the centered Hardy–Littlewood maximaloperator. Then, there exists a non-constant functionf∈Lp(Rn)such thatM(f)=f,if and only ifn≥3andn/(n−2)