A note on rearrangement Poincaré inequalities and the doubling condition

  • Martín J
  • Ortiz W
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Abstract

We introduce Poincaré-type inequalities based on rearrangement invariant spaces in the setting of metric measure spaces and analyze when they imply the doubling condition on the underline measure.

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Martín, J., & Ortiz, W. A. (2024). A note on rearrangement Poincaré inequalities and the doubling condition. Proceedings of the American Mathematical Society, 152(8), 3437–3449. https://doi.org/10.1090/proc/16795

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