TY - T1 - Weak A_\infty weights and weak Reverse Hölder property in a space of homogeneous type SN - / UR - http://hdl.handle.net/10138/313152 T3 - A1 - Anderson, Theresa C.; Hytönen, Tuomas; Tapiola, Olli A2 - PB - Y1 - 2017 LA - eng AB - In the Euclidean setting, the Fujii-Wilson-type A(infinity) weights satisfy a reverse Holder inequality (RHI), but in spaces of homogeneous type the best-known result has been that A(infinity) weights satisfy only a weak reverse Holder inequality. In this paper, we complement the results of Hytonen, Perez and Rela and show that there exist both A(infinity) weights that do not satisfy an RHI and a genuinely weaker weight class that still satisfies a weak RHI. We also show that all the weights tha... VO - IS - SP - OP - KW - 111 Mathematics N1 - PP - ER -