Powers of distances to lower dimensional sets as Muckenhoupt weights

Hugo Aimar, Marilina Carena, Ricardo Durán +1

Let $(X,d,\mu )$ be an Ahlfors metric measure space. We give sufficient conditions on a closed set $F\subseteq X$ and on a real number $\beta$ in such a way that $d(x,F{)}^{\beta }$ becomes a Muck…