Weak A_\infty weights and weak Reverse Hölder property in a space of homogeneous type

Theresa C. Anderson, Tuomas Hytönen, Olli Tapiola

In the Euclidean setting, the Fujii-Wilson-type $A_{\infty }$ weights satisfy a Reverse Hölder Inequality (RHI) but in spaces of homogeneous type the best known result has been that $…