On the extension of Muckenhoupt weights in metric spaces
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Nonlinear Analysis: Theory, Methods & Applications, Volume 215
Abstract
A theorem by Wolff states that weights defined on a measurable subset of Rn and satisfying a Muckenhoupt-type condition can be extended into the whole space as Muckenhoupt weights of the same class. We give a complete and self-contained proof of this theorem generalized into metric measure spaces supporting a doubling measure. Related to the extension problem, we also show estimates for Muckenhoupt weights on Whitney chains in the metric setting.Description
Funding Information: Acknowledgments. E.-K. Kurki was funded by a young researcher’s grant from the Emil Aaltonen Foundation, Finland . C. Mudarra acknowledges financial support from the Academy of Finland . We thank Juha Kinnunen for many helpful discussions. Publisher Copyright: © 2021 The Author(s)
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Kurki, E K & Mudarra, C 2022, 'On the extension of Muckenhoupt weights in metric spaces', Nonlinear Analysis: Theory, Methods & Applications, vol. 215, 112671. https://doi.org/10.1016/j.na.2021.112671