Strong -weights are -weights on metric spaces
Riikka Korte
University of Helsinki, FinlandOuti Elena Kansanen
KTH, Stockholm, Sweden
![Strong $A_\infty$-weights are $A_\infty$-weights on metric spaces cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rmi-volume-27-issue-1.png&w=3840&q=90)
Abstract
We prove that every strong -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 -weights in this setting, since some of these characterizations are needed in the proof of the main result.
Cite this article
Riikka Korte, Outi Elena Kansanen, Strong -weights are -weights on metric spaces. Rev. Mat. Iberoam. 27 (2011), no. 1, pp. 335–354
DOI 10.4171/RMI/638