@article{7fb4ec80837440fe8b343589d8cde728,
title = "A note on rearrangement Poincar{\'e} inequalities and the doubling condition",
abstract = "We introduce Poincar{\'e}-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.",
keywords = "Metric measure space, Poincar{\'e} inequality, doubling condition, rearrangement invariant spaces",
author = "\{Martin Pedret\}, Joaquin and \{Ortiz Vargas\}, \{Walter Andres\}",
note = "Publisher Copyright: {\textcopyright} 2024 American Mathematical Society.",
year = "2024",
month = jun,
day = "12",
doi = "10.1090/proc/16795",
language = "English",
volume = "152",
pages = "3437--3449",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "8",
}