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Characterizations of weak reverse Hölder inequalities on metric measure spaces
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Mathematische Zeitschrift, Volume 301, issue 3, pp. 2269-2290
Abstract
We present ten different characterizations of functions satisfying a weak reverse Hölder inequality on an open subset of a metric measure space with a doubling measure. Among others, we describe these functions as a class of weak A∞ weights, which is a generalization of Muckenhoupt weights that allows for nondoubling weights. Although our main results are modeled after conditions that hold true for Muckenhoupt weights, we also discuss two conditions for Muckenhoupt A∞ weights that fail to hold for weak A∞ weights.
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Funding Information: E.-K. Kurki has been funded by a young researcher’s grant from the Emil Aaltonen Foundation. C. Mudarra acknowledges financial support from the Academy of Finland. Publisher Copyright: © 2022, The Author(s).
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Kinnunen, J, Kurki, E K & Mudarra, C 2022, 'Characterizations of weak reverse Hölder inequalities on metric measure spaces', Mathematische Zeitschrift, vol. 301, no. 3, pp. 2269-2290. https://doi.org/10.1007/s00209-022-02976-y