Abstract
This work extends some Euclidean results on the structure of the reverse Hölder classes to metric measure spaces with a doubling measure satisfying an annular decay condition. We also give an alternative proof of the celebrated Gehring’s lemma. Muckenhoupt weights are used extensively throughout the work.
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Communicated by Kari Hag.
The research is supported by the Academy of Finland.
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Kinnunen, J., Shukla, P. Gehring’s Lemma and Reverse Hölder Classes on Metric Measure Spaces. Comput. Methods Funct. Theory 14, 295–314 (2014). https://doi.org/10.1007/s40315-014-0071-1
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DOI: https://doi.org/10.1007/s40315-014-0071-1
Keywords
- Reverse Hölder inequalities
- Muckenhoupt weights
- Metric measure spaces
- Doubling measure
- Annular decay property