an:05883109
Zbl 1223.42016
Kansanen, Outi Elina; Korte, Riikka
Strong \(A_\infty\)-weights are \(A_\infty\)-weights on metric spaces
EN
Rev. Mat. Iberoam. 27, No. 1, 335-354 (2011).
00277636
2011
j
42B35
metric doubling measure; metric spaces; Muckenhoupt weights; strong \(A_\infty\) weight
The authors study very interesting properties of the strong \(A_\infty\)-weights in an Ahlfors-regular metric space supporting a Poincar?? inequality. They explore relations among various definitions of \(A_\infty\)-weights in the setting of metric spaces. Some definitions are equivalent to each other and others are not; counterexamples are given. Many of the results are shown, using proofs that are different from their Euclidean analogue.
Giuseppe Di Fazio (Catania)