Revista Matemática Iberoamericana
- Rev. Mat. Iberoamericana
- Volume 27, Number 1 (2011), 335-354.
Strong $A_\infty$-weights are $A_\infty$-weights on metric spaces
We prove that every strong $A_\infty$-weight is a Muckenhoupt weight in Ahlfors-regular metric measure spaces that support a Poincaré inequality. We also explore the relations between various definitions for $A_\infty$-weights in this setting, since some of these characterizations are needed in the proof of the main result.
Rev. Mat. Iberoamericana, Volume 27, Number 1 (2011), 335-354.
First available in Project Euclid: 4 February 2011
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 42B35: Function spaces arising in harmonic analysis
Korte, Riikka; Kansanen, Outi Elina. Strong $A_\infty$-weights are $A_\infty$-weights on metric spaces. Rev. Mat. Iberoamericana 27 (2011), no. 1, 335--354. https://projecteuclid.org/euclid.rmi/1296828837