Weakly porous sets and Muckenhoupt $A_p$ distance functions

Theresa C. Anderson, Juha Lehrbäck, Carlos Mudarra +1

We examine the class of weakly porous sets in Euclidean spaces. As our first main result we show that the distance weight $w(x)=\mathrm{dist}(x,E{)}^{-\alpha }$ belongs to the Mucken…