JournalsrmiVol. 27, No. 1pp. 335–354

Strong AA_\infty-weights are AA_\infty-weights on metric spaces

  • Riikka Korte

    University of Helsinki, Finland
  • Outi Elena Kansanen

    KTH, Stockholm, Sweden
Strong $A_\infty$-weights are $A_\infty$-weights on metric spaces cover
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Abstract

We prove that every strong AA_\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 AA_\infty-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 AA_\infty-weights are AA_\infty-weights on metric spaces. Rev. Mat. Iberoam. 27 (2011), no. 1, pp. 335–354

DOI 10.4171/RMI/638